The Villa star marked his first competitive game with the Three Lions with an assured performance as Hodgson's side got their Euro 2016 qualifying campaign off to a winning start away from home.
"If I had to make one special mention, it'd be for Fabian Delph," Hodgson told Sky Sports News.
"I thought it was a really big occasion for him being here in Switzerland, and to play so well, I didn't quite know if I could get that level of performance from him.
"I've seen him play well for Aston Villa, but it's another thing playing for England. So that was a question mark over him, but he answered that one brilliantly I thought."
The appearance against the Swiss was Delph's second cap.