The 32-year-old defender has fallen down the pecking order at the Stadio Olimpico this season, with Mehdi Benatia and Leandro Castan preferred in the centre of defence.
Burdisso has made just six appearances for Rudi Garcia's side so far in 2013-14 and the Argentina international is keen to exit the club as he seeks first-team football ahead of the World Cup in June.
"I have decided to leave Roma," he told Sky Sport Italia. "I want to go to the World Cup in Brazil and I need to play more regularly.
"I won't go back to South America, I'll stay in Europe for the foreseeable future."
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