Fifa president Gianni Infantino said he wanted to bring in something which has “a deterrent effect” and backed a red card.
Infantino said: “If a player covers his mouth and says something, and this has a racist consequence, then he has to be sent off, obviously.
“There must be a presumption that he has said something he shouldn’t have said, otherwise he wouldn’t have had to cover his mouth.
“If you do not have something to hide, you don’t hide your mouth when you say something. That’s it, as simple as that.”
In the final of the Africa Cup of Nations, Senegal left the field and returned to the changing rooms in protest at a penalty awarded to Morocco.
When the players eventually returned Brahim Diaz chipped his Panenka penalty into the hands of goalkeeper Edouard Mendy, and Senegal went on to win 1-0.
But the Confederation of African Football (Caf) has since stripped Senegal of the title and awarded Morocco a 3-0 win.
This new rule will also apply to any team official who incites players to leave the pitch.
A team that causes a match to be abandoned will, in principle, forfeit the match.
