Luke Norris scored his 12th goal of the campaign as the Robins moved just outside the play-offs on goal difference.
The striker tucked home 11 minutes from time after Keshi Anderson’s initial shot was parried by Forest Green goalkeeper Brad Collins and the striker tapped the ball into the net following a goalmouth scramble.
Swindon have now won back-to-back home games in the league for the first time this season and kept two clean sheets in the process.
“We wanted to get our home form up and running and there was a willingness from the players to put themselves on the line and it has started with these clean sheets,” Flitcroft said.
“Forest Green never threatened us first half and Reice (Charles-Cook) only had one save to make in the whole game.
“The game started really scrappy, it was a wrestle. Nobody wanted to lose the game.
“Then we totally bossed it in the second half.
“Technically at times we looked really good. I’m delighted with the score and three points.”
Flitcroft was particularly pleased with how his side defended, and highlighted the performances of Matt Preston, Oliver Lancashire and Chris Robertson.
“In the second half Reice has not really had any work to do and that is all credit to the back three players. I thought they were fantastic.
“We shackled Doidge and Reid and they didn’t get anywhere near our goal. Full credit to the team in the way they defended.”
Forest Green only managed one shot on target through Christian Doidge, but after the match boss Mark Cooper…