On January 31, 2017, Dwyer parted ways with Zagreb to take over the head coaching position at HC Ambrì-Piotta of the Swiss top-flight National League A. "This is a great opportunity for me and a big step forward in my career", Dwyer said on Medveščak's website about his move to Switzerland. In the same article, the Canadian who was a fan favorite in Zagreb summed up his KHL experience: "When you're challenged daily, by both the opposition and internally to get the best of out of your hockey team, you have to grow as a coach and as an individual. And this has been a very rewarding experience." His Ambrì-Piotta stint ended at the close of the 2016-17 season.