The 25-year-old now plays for Hannover after he left Old Trafford in 2010 for the Bundesliga, and he's blossomed into one of Germany's best young goalkeepers.
And Rodgers, who is looking to add competition to Liverpool's goalkeeping position, is reportedly eyeing Zieler as a potential summer recruit.
Zieler spent five seasons at Manchester United but a lack of first-team opportunities led to his move abroad.
And he is being considered as a replacement for Brad Jones, Liverpool's current back-up to first-choice stopper Simon Mignolet.
Jones is a solid understudy, but the Australian does threaten Mignolet's number one jersey.
Rodgers wants another keeper to push the Belgian international, and possibly even replace him if he shows good form.
Zieler has made close to 100 Bundesliga appearances for Hannover in almost four seasons for the German club.
He left United with Edwin van der Sar established as the club's number one. When the Dutchman retired a year after Zieler's departure, United boss Sir Alex Ferguson signed David De Gea from Atletico Madrid.