Steam Inventory Game

Yes if it's on giveaway list. Games removed cannot be given away.

if you can give it away, you can make giveaway for it no?

Make sure it's not region locked.

Yes.

A game in your inventory (but not Library) can be given away so long as it is market 'giftable' (select it and check on the right).

That said, I glanced at your inventory (at least the one on the profile tied to here) and did not see a game within it. If you think there's already one there, double-check that it actually is.

Games in your inventory can't be installed or played, but you can gift them. You can also trade them within Steam. If you have a giftable copy of a game in your inventory, you can gift it to a Friend on Steam or to an e-mail address.

Since it can be gifted to an e-mail address, I've never had a problem with giving away games from my inventory. Again, though, I don't see any games in your inventory currently.

sure, why not