The Manchester United and England forward has been one of several players to have been targeted during a spate of incidents in recent weeks.
These attacks have prompted football chiefs in England to write an open letter to the bosses of Twitter and Facebook calling for action to tackle "havens of abuse".
"Online abuse should be easy to stop," Rashford told Sky Sports on Friday. "You just deactivate the accounts.
"It's very easy to make four or five accounts but if you've got to block them out you block them out.
"If they see anyone that's being racially abused or abused in any way their accounts should be deleted straight away."