Despite having a potentially career-ending conviction hanging over him, Terry helped his side to FA Cup and Champions League triumphs last season before being cleared of his racist abuse charge.
Cahill said: "John has gone through loads of stuff in his career, but the character he is, he just seems to steamroller over it and just motor on.
"So I don't think it will affect him in any way. Of course, everyone is happy with that (the verdict).
"The most important thing for us is that JT is playing in a Chelsea shirt, and I am sure that will be the case now so that is fantastic. When he comes back from holiday that will be behind him and put to bed."