It's best to admit your mistakes. You'll need to forgive yourself for your part in the breakup, then move forward to seek his forgiveness. If you lose your temper and say things you don't mean, pull yourself together as quickly possible and apologize sincerely. There is nothing weak or demeaning about apologizing. On the contrary, it shows strength and good character. But when you apologize, be sure you mean it. A disingenuous apology is worse than no apology.
If a man is honest and tells you he does not want a relationship, then as a woman you should honor his truth in telling you this and take a moment to reflect and understand that you may need to pull away. Not to mention, if he also gives you the popular one-liner by saying, “I’m just seeing where things go,” proceed with caution. This is not a committed answer, so why would he want to commit to you? This is just an answer to lure you away from the truth in hopes to keep you around for what he is in search of pleasure and attention.