Flanagan, who has started Liverpool's last five matches, crowned an impressive performance in the 5-0 thrashing of Spurs with a superb 75th-minute strike.
The 20-year-old met Luis Suarez's cross with a half-volley that flew in via the crossbar, yet Rodgers was just as delighted with Flanagan's efforts at the other end of the field.
"He's an incredible young player, a wonderful example," said the Liverpool manager.
"His attitude is incredible [and] since he's come into the team at full-back he hasn't put a foot wrong.
"He was up against Aaron Lennon [in the Tottenham match], but how he dealt with it [was impressive].
"He's cute in his defending and when he arrives in the box he's got a goal, a wonderful finish. I'm delighted for him."