Patch removal?

Is it possible to remove these embroidery pieces from my old work hat? It’s a decent hat and I would like to use it without advertising a company I left lol. I can cover it but I’d prefer it removed before trying to patch over it

I don’t have much experience with patches like this and I am unsure if I’d be able to remove it without the result being a large hole, since it appears to go all the way through to the back