Suarez bit Giorgio Chiellini during the second half of Uruguay's win over Italy in their Group D qualification decider yesterday.
Writing about the incident on his Paddy Power blog, Scholes said Suarez had "embarrassed his club, country and family."
"He will feel terrible tonight, and the entire incident is such a shame because he’s a tremendous player.
"But people will remember Suarez now for his biting antics at this World Cup rather than his supreme footballing ability."
For the big stories and the banter follow us on Twitter: @tribalfootball