Q: Can tranquilized zombies count towards a Goal that requires zombies?

A: Yes. They’re still there, they’re just harmless, so you can still win with any Goal requiring zombies. For example, you can successfully assemble a Zombie Baseball Team, even if they’re all asleep. They’re very easy to manage that way. Though you may not have a very successful season, the Goal is merely to assemble the team.

Then again, the effects of the Sonic Tranquilizer are optional, i.e. you can turn it off if you want to (in case you want to have a better chance to make the playoffs).