For that Matter Comma

"I will use the car to go back to the house, or for whatever else I should please, for that matter," he said.

Is that comma after "please" fine there? Keep in mind that he is not speaking of any specific matter. This is the expression of "for that matter" that I am using there, kind of like "as a matter of fact" or "in fact." Because it's the expression, I do indeed feel the pause there; that's why I put the comma.

Thanks.