Danny Graham's winner has lifted the Swans up to 10th in the Premier League table.
"The journey that we've been on in the last 18 months has been incredible," Rodgers told Sky Sports News.
"The players were brilliant today and I'm very, very proud.
"Our style is something that we all inherently believe in and, importantly, we have all had success with it. I have a great belief that we can play and pass, even against the best teams."
Swansea travel to Sunderland in the league next Saturday.