is this normal

My bf and i got in an arguement a week ago i blockef him on social media (which pisses him off for some reason) but ik he didnt listen to what i said and doesnt realize how upset i still am. I love him but he needs to change how he acts towards me and him talking to other girl. Im just heartbroken now that i had to confront him and he saw nothing wrong with his actions. He didnt physically cheat but was flirting and asking girls to hang out. Hes claiming he knows hat he did was wrong.  But nothing he says will make me forgive him except his actions. Am i able to take awhile to get over this?