William Blything hurled the abuse at Queens Park Rangers captain Park Ji-sung of South Korea and Everton's Nigerian forward Victor Anichebe as the teams drew 1-1 at Loftus Road on Oct. 21.
He was reported to police by another Everton fan.
The 42-year-old Blything, who was at the game with his wife, two children and grandson, was found guilty at West London Magistrates' Court on Monday.
District Judge Jeremy Coleman says Blything will face jail when he is sentenced on Feb 11.
The match saw QPR defender Anton Ferdinand and other teammates refuse to wear a T-shirt in support of anti-racism campaign Kick It Out.