What's wrong with carefully using a pair of pliers?
Useful for when you need to push it back in.
I bought one off Amazon for the extortionate price of £1.69, I think.
Took a while to arrive, since it was direct from China – but it did the trick for adding a new link to my Spring Drive……with the aid of some humungous pliers!
I don't think you'll find a pin removal tool that is designed to go through the length of the hole, as one side of the bracelet is slightly larger in diameter than the other to accommodate the collar. So there's little call for pushing something out that's stuck inside, since that can't happen.