The promising full-back made his senior breakthrough in 2010/11, but has struggled to nail down regular involvement since then.
He was drafted back into the fold for Saturday's Merseyside derby, and impressed as Liverpool and Everton played out a thrilling 3-3 draw.
That outing was only Flanagan's second of the season, with Jose Enrique and Aly Cissoko providing more experienced options at left-back.
Rodgers is, however, prepared to admit that Flanagan has played his way back into contention and may no longer need to look for a short-term deal away from Anfield in the New Year.
He said in the Liverpool Echo: "He needs to play football. But if he plays like he played today, he is going to get football.
"It's been remarkable, really, that we haven't had any clubs come in to take him on loan. We will always facilitate the wages, but we have had just one club come in for him, and that was a League One club. He's a young player that needs to play.
"There have been a couple of enquiries about him, but nothing concrete. I just felt that I needed to have him about, and in the end I needed him to play in the Arsenal game.
"He's done brilliantly, and that gives me something to think about."
On the England U21 international's performance against Everton at Goodison Park, Rodgers added: "Jon Flanagan was immense.
"A young kid from the city, given the chance to play in a derby game that will be on Sky Gold in about 30 years' time, and given the chance because of his desire to put himself out there every day."