Gmail forward to icloud mail account?

[Bokka]

Hi, I have set up a Gmail account on the IOS mail app. As you well know it works, but push notifications don't work, so when I receive an email on Gmail, I have to wait every certain time for the mail app to automatically check for new emails.

I know push mails work just fine with @icloud.com mail.
Since an iCloud+ subscription that allows me to create an @icloud.com email, I thought about configuring gmail so that when an email arrives, it is automatically sent to icloud mail, so as to have push emails even with the email client of iOS.

Is it possible to do this?

 

[CTHarrryH]

Google is the one that prevents the push on Gmail. If you "push" down on the mail screen it will check email and you'd get the gmail email immediately

 

[Bokka]

Ok, but if on the Gmail site I forward messages to the @icloud.com mailbox (so it's as if I received them there), shouldn't the push function work without problems?