Is it normal to not want to talk to your parents?
Yes, it can be normal to not feel like talking to your parents, especially if you need space or your relationship is tense. How you handle it depends on what’s behind the feeling and whether you feel safe with them.
You’re allowed to need space from your parents. You might be busy, worn out, annoyed after an argument, or just not in the mood for a conversation. That doesn’t make you a bad child, and plenty of people go through stretches when they’d rather keep contact brief.
If this is a passing feeling, it’s fine to take a little breathing room or say you’ll talk later. If you’re avoiding them because you feel scared, constantly put down, or unsafe, that’s different—and it may help to talk it through with someone you trust and think about what boundaries you need.