Marquez, who captained Mexico to victory over France in his side's second Group A game on Thursday, says he needs to speak to Barca coach Pep Guardiola before deciding whether to accept a new two-year contract at the Nou Camp.
"I am not thinking about what can happen in the future," he told Catalan station COM Radio on Friday.
"I have to speak to Pep because it's true I played very little last year, but I'm relaxed."
Marquez was a key player for Barca in Guardiola's first season in charge, but ended the campaign with a serious injury and struggled to regain both fitness and form last term.
The stylish defender, who is alternating the Mexican captaincy with Gerardo Torrado at the World Cup, has been at Barca since 2003 and was the second signing made by outgoing president Joan Laporta.
He is also one of the few players to have previously worked with Barca's former vice-president and new chief, Sandro Rosell.
And Marquez revealed he phoned Rosell to congratulate him on his recent election victory.
"I called to him to congratulate him and he returned the message. Let's just hope he is enjoying this moment and preparing to take over," he said.