Naruto does not use the Flying Thunder God technique at any point in the series.
Notable similarities: Gaining partial mastery over Kurama got him fast enough to be on par with the Third Raikage, who was said to be the fastest shinobi alive (Second only to Minato, when he was alive) Gaining full mastery over Kurama (and becoming friends with him) increased his speed even further, shown to be able to nearly instantly create a shadow clone and fly to the other side of the battlefield to stop two simultaneous attacks on his friends.
- During his time as Hokage we've seen him use the Body Flicker technique, which is a rather general name for "moving really really faster so that it looks like teleportation", but the distinction between Body Flicker and Flying Thunder God was made several times in the series.
To summerize
: Naruto is very fast, however, he cannot use the Flying Thunder God technique.
scifi.stackexchange.com/users/11495/Madara's Ghost
I think Naruto may have some knowledge of the Flying Thunder God technique, but has never showcased it in live combat.
However referring back to the scene where Naruto dodges the Raikage's punch; Naruto does not use the 'FTG' technique but instead uses his brute speed, in the nine tails chakra mode, to match that of the speed of the 'FTG' technique.
On an important note it is crucial to remember that, after Naruto received the Six Paths Sage Power and entered the Six Paths Sage mode; his speed has enhanced immensely when compared to that of the Nine tails chakra mode.
So the question is not whether Naruto knows the 'FTG' technique, but
whether is it really necessary for Naruto?
as he has already surpassed the speed of the 'FTG' technique using his acquired powers.
scifi.stackexchange.com/users/70873/Mahima
He used it in the movies, im not sure if that's canon or not.
scifi.stackexchange.com/users/94806/Micheal Bailey
The movie was Road to Ninja, where Naruto and Sakura where trapped in a tskyuomi.
Even Obito says "The last time I got hit by that Jutsu was 16 years ago." referring to when Minato used Rasengan combined with Flying Thunder God and hit Obito/Menma on the back before he could dematerialize that part of his body using close range Kamui.
The scene I am talking about occurs about 14 minutes or so before the end of the movie.
Not sure if it's Canon or not, I would assume it is since the plot of the movie was Obito wanting to test out a limited version of the Infinite Tsukuyomi which would have some relevance to the storyline.
scifi.stackexchange.com/users/98426/999Hatake Kakashi999
In chapter 700 of the manga, the final chapter which takes place years after the events of the series, an adult Hokage Naruto uses Flying Raijin to stop his son, Boruto, from vandalizing the Hokage monument.
Naruto does not use the technique during the War, and in fact had never seen it until encountering the resurrected Minato at the end.
scifi.stackexchange.com/users/103151/Donald Elder
He uses Flying Raijin 2 times: against Menma in the movie and to stop Boruto from vandalizing the Great Stone Faces. Note-
He shares his and Kurama's chakra with his reanimated father to teleport the entire allied shinobi forces out of the barrier erected by Obito Uchiha during the Fourth Great Ninja War
scifi.stackexchange.com/users/116834/Haloskill
used on Kisame right after achieving Kurama chakra form for the first time inside the sealing cave (referred to by Bee as Teleportation technique and seeing a yellow flash) used in the very last chapter of Naruto to stop Boruto from painting in the stone mural (Borito calls out the name of the technique) used in the movie "road to ninja" against Obito (referred to as the same Technique Minato hit him with 16 years ago)
So, yes.
Naruto knows that Jutsu and uses it.
But very rarely.
Reason probably being that he just learnt it during the Ninja war and still had trouble with controlling it and incorporating it into his fighting style seamlessly.
scifi.stackexchange.com/users/105236/DaMarkiM
This  technique is used by Minato Namikaze, but does Naruto use it as well? As far as I remember, he dodged a punch from Raikage who said that he has surpassed his father.  Is this technique something else?
Does Naruto use Flying Raijin Jutsu?
scifi.stackexchange.com
<naruto>
scifi.stackexchange.com/questions/121501
scifi.stackexchange.com/users/29106/ABcDexter
There is no clear agreement as to whether Naruto uses "Flying Raijin Jutsu", also known as the Flying Thunder God technique. If he does use it, it's at least agreed that he uses it very rarely. Some would argue that he has never used this technique. Views vary - Karuto does appear to know similar techniques at least and possibly to know the Flying Thunder God technique, but he uses it only in the films and even then only rarely.
Naruto does not use the Flying Thunder God technique, but he does use similar techniques, such as his partial mastery over Kurama. Naruto may have knowledge of the Flying Thunder God technique but he never uses it in combat. However, he does use brute speed to match the speed of the FTG technique. He does use it in the movies, but that may not be canon. There is a scene in Road to Ninja (14 minutes before the end) where this is mentioned, but it may not be canon. Naruto does not use the technique during the War but he does use Flying Raijin later to stop his son from vandalising a monument. Naruto does know it and he uses it - but rarely, perhaps because he cannot control it well.