Leroy Sane, restored to the starting XI, put City ahead after just 90 seconds before David Silva and Raheem Sterling struck.
Delph played his first minutes of the season in the match and looked fit and sharp at left-back.
The Yorkshire ace reflected: “It’s nice to get going again after the World Cup - we only got 12 days off. I’ve been working to get fit and get up to speed, and after 70 minutes today I’m on track to getting back to full fitness.
“I felt like I won most of my duels and I was communicating well with the rest of the team. I couldn’t get my feet sorted at times! But that will come with more match time and fitness.
“It was frustrating to not put more chances into the ball of the net - we need to be more ruthless. We knew Fulham could be a threat - they have been impressive already this season. But we started with the mindset that we needed to be on the front foot. We try to do that in every game.”
READ: City 3-0 Fulham match verdict
READ: Player and match stats
Delph found time for a joke on Bernardo Silva after the Portuguese midfielder’s sublime display in central midfield.
“Bernardo Silva? Ah, he’s average. One of the worst players in the team...” smiled Delph.
“Nah, he’s a team player, a wonderful guy, everyone loves him. He looks about 45 but he’s only about 20 or something.
“He’ll keep improving, there are many more good games to come from him.”
Sane showed signs of the blistering form that landed him last season’s young PFA player award, and he had a double reason to celebrate.
He said: “A fantastic week for me - I became a daddy this week! It was also a good game today and we won, we played a good game.
“I’m relaxed at the moment, I train hard and when the manager gives me an opportunity I show him what I can do. The next game on Wednesday is a really important game.”
