The New York Red Bulls centre-back believes his former trainer, who he worked with at the Spanish giants for two seasons, will next manage a club in the Premier League
The 33-year-old played under Guardiola at Camp Nou for two seasons before his move to MLS side New York Red Bulls in August 2010.
Guardiola has been linked with a host of top European sides following his departure from Barcelona at the end of last season, while Goal.com exclusively revealed in September that Sir Alex Ferguson has earmarked the 41-year-old as one of two candidates to succeed him at Manchester United, with the other potential appointment being Jose Mourinho.
But Marquez claims Guardiola would be a better replacement for Arsene Wenger at the Emirates Stadium and believes the Spaniard's next managerial role will be in the Premier League.
Marquez told Cadena SER: "I didn't yet have the chance to meet Pep in New York. We've been in touch before, to help him move here.
"He will soon return to the game. I think he'll go to England. He'd be perfect for Arsenal."