Burdisso is desperate to secure a place in the Argentina squad for the 2014 World Cup.
The 32-year-old could leave Roma in order to get regular first-team football ahead of the World Cup.
"I will do all I can to be part of the World Cup squad," he told reporters. "If necessary, I will even think about leaving Roma. I will decide after Christmas.
"But I am very attached to this club and the city. I have a role at Roma and the number of games I play is not the only thing that matters, even if I want to return to the Argentina side.
"Roma are doing very well this term, things are working and it's all very positive. I've been feeling in good shape since the summer and I just need to be patient."