Friends?

I broke up with my boyfriend after dating for a few months. I said he was a really great guy, and that I just didnt want to be in a relationship anymore. He was super accepting, said he was going to break up with me, and we both agreed on being friends. At school, he tells people that he broke up with me rather than what actually happened. i don’t even really care though, he avoids me at all costs and doesn’t talk to me at all. i broke up with him not even a week ago. i really want to be friends, does this mean he’s just embarrassed? will we ever be friends?