It's not possible to remove Google play services. Even if you managed to remove it your phone would be near useless.
Google Play services is a core system software that enables key functionality on Android devices. It connects apps to other Google services, like Google Maps and Google Sign-In.
What does Google Play services do?
Security and reliability: Helps keep devices updated with the latest security features
Updates: Keeps apps updated and running smoothly
Authentication: Provides authentication to Google services
Location services: Provides higher quality, lower-powered location based services
Data backup and transfer: Backs up messages, contacts, app settings, and preferences to Google servers
Location sharing: Collects and stores location lat-long information to support location sharing