Prior to iOS7 title
did not have animations, but in iOS 7 it seems they have added the flash animation when it changes. One possibility might be to set the title blank first, and then to the same value again to simulate a change. If this causes unwanted blinking, you could also try to append some non-printing character to the title momentarily (finding a suitable one left as exercise to reader).
Or, you could try doing an altogether different transition, e.g., with something like:
[UIView transitionWithView:self.firstletterbutton duration:0.3 options:UIViewAnimationOptionTransitionFlipFromBottom animations:^{
[self.firstletterbutton setTitle:goodletter forState:UIControlStateNormal];
} completion:nil];