Marriage advice

If you and your significant other get into a small argument and he wants to stop talking about but it's still bothering you, do you let it go or continue to talk? What is the right thing to do? I don't want to "keep breathing air into the problem" as people would say but I can tell there's still tension. I don't want to make him upset even more but it's beyond obvious he is annoyed since he won't even touch me.😕