This is a tricky question... But since the first part of the question says "save" in quotations, I would think that means he expected the Guardian Angel to save him (since that didn't turn out to be the case).
However, after the Guardian Angel says the secret to cooking him is a low flame over a long period, Finn says that's Jake's secret too. Then he says "Sure hope he saves me." So he does pretty much flat out say he expects Jake to save him. However, I'm taking "save" in quotations as a hint that the Guardian Angel is the answer.
And of course, the answer to the second part of the question is Princess Bubblegum saves him (and Jake) in the end.
TL;DR: He expects the Guardian Angel to "save" him, and Princess Bubblegum actually does, in the end.