Lambert and his former club are suing each other for alleged breach of contract after his departure in June.
The former Celtic captain wants an amicable end to the legal dispute but is expecting abuse from some Canaries fans.
However, he does feel he is ready for any flak that that might come his way after seven years spent playing in green and white in Glasgow.
He said: "When you have been involved in that [an Old Firm game], then you can handle anything."
"The sensible ones maybe think, 'you've done all right', but I know you might get stick.
"I really don't know what to expect but it's not something I'm actually too fazed about."
Lambert, 43, steered Norwich into the Premier League with two consecutive promotions and then consolidated their top-flight status with a 12th-place finish last season.
But his three-year reign at Norwich ended badly when the club rejected Lambert's resignation and struggled to agree a compensation package with Villa.
Lambert and Norwich then started legal action against each other, with Lambert also upset with Carrow Road chairman Alan Bowkett's claim that he demanded £1.5m- £2m in compensation.
A Premier League Managers' Arbitration Tribunal will investigate the case before coming to a conclusion.
Lambert added: "Is it a source of sorrow it's ended up how it has? Yes, it should never have been the way it is.
"Would you hope it could get sorted out amicably? You'd like to think that way."