In 2016, the Evening Standard named Godson one of London's most influential people, saying that “Fiercely bright Godson, formerly chief leader writer at the Daily Telegraph, has been described as Britain’s acknowledged expert on the problem of social cohesion.” Commentator Iain Dale also named Godson as one of the 100 most influential people on the right of British politics, in his annual rankings in 2016, 2017 and 2018. Dale also described Policy Exchange, in a February 2020 article, as "the pre-eminent think tank in the Westminster village".