The pair have not trained since Christmas, with Rodney Eade unveiled as the Tigers’ coach in mid-January.
Both Gorringe and Schade were delisted under Eade, with the pair playing two and 20 games for Eade respectively.
Balwyn football manager Paul Johnson touched on the pair’s decision to leave, but said they were still under contract.
“They’re required players, the club hasn’t got replacements for them so those conversations will need to continue between the coach, president and myself,” Johnson said.
“It leaves us in a very bad spot simple because all the good players (recruits) are gone and all of a sudden now we haven’t got a No.1 ruckman and where we wanted three tall backmen, now we’ve only got two.
“That is the reason we expect them to honour their contracts.”
Johnson was especially disappointed to lose Schade, with the Tigers hoping for big things from the defender.
“Schade is a very nice fella, very nice guy and as I’ve said, thought he might have been our next captain,” Johnson added.
“Very disappointing to lose (him), we spoke and he was going to sit down and catch up with ‘Rocket’ but until that happens the club feels that they won’t be releasing him.”