The 33-year-old played under the Spanish coach at Camp Nou for two seasons before his move to MLS side New York Red Bulls in August 2010.
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But Marquez claims that the ex-Barca man would be a better replacement for Arsene Wenger at the Emirates Stadium and expects that the Spaniard's next managerial role will be in the Premier League.
"Guardiola will soon return to the game. I think he'll go to England. He'd be perfect for Arsenal," Marquez told Cadena SER.