Pellegrini accused ref Jonas Eriksson of favouring Barcelona.
Boyce has rejected the City manager's claims and claimed the reference to Eriksson's nationality was 'nonsense'.
"It is absolute nonsense to say a referee should not be chosen because he comes from a smaller country," Boyce said.
"I read the remarks that were made by the Manchester City manager.
"I saw the game and my own personal opinion is that I thought the referee had a good game.
"He is a very experienced referee who has been chosen for the World Cup because of excellent reports of his performances in Europe."
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