Hello and welcome to Apple Support Communities, sushil122!
We understand you're seeing flickering within the Gmail app on your iPhone. We'd be happy to provide information to help you address this.
The screen recording you posted does not show any flickering. It's possible that it's an issue with the display itself and not the app. To test this, you'll want to restore to factory settings and the iPhone up as new. Make sure you have a back up:
How to back up your iPhone, iPad, and iPod touch
Restore your iPhone, iPad, or iPod to factory settings
If the issue does not happen with a new set up, restore the back up: Restore your iPhone, iPad, or iPod touch from a backup
Check to see if the issue continues there and let us know the result.
Have a great day!