The Argentine joined Liverpool from Spanish side Atletico Madrid in January 2010, but failed to make the expected impact at Anfield.
A statement on the club’s official website confirmed: “Liverpool Football Club can today confirm that Maxi Rodriguez has joined Newell’s Old Boys in Argentina.
“Maxi, who arrived at Anfield from Atletico Madrid in January 2010, netted 17 goals in 73 appearances for the Reds.
“Highlights of the midfielder’s Anfield career include two hat-tricks in the space of a couple of weeks against Birmingham and Fulham in 2011 as well as important strikes against Chelsea at Stamford Bridge in November of that year.
“Everyone at Liverpool FC would like to thank Maxi for his contribution to the club and wish him all the best for the future.”