A number of factors can limit this, such as:
How thin is the wooden wall?
What's behind it? Just empty space, or a spacer/stud? Pipes, wiring?
Do you have a mount, or are you simply trying to just 'hang' it there?
If you're trying to hang it there by some screw system, you'll be faced with some challenges. The weight of the TV will be more likely to pull the screws out, and along with it, drop your TV to the floor. If you have a mount/bracket, it will be better, but optimally, you want to try to find a spot in the wall where a stud/spacer resides so you have as much screw depth as possible. As well, if you cannot mount it on the wooden wall, most TV mounts come with screws meant to pierce cement.