Nunez earned $2 million last season when he went 4-3 with a 3.46 ERA, and 30 saves in 38 chances.
Nunez, 27, struck out 71 and allowed 21 walks in 65 innings pitched last year. He has 56 saves in two years with the Marlins.
The righthander, who is 17-16 with a 4.40 ERA in six years with Kansas City and Florida, was eligible for salary arbitration for the second time in his MLB career.
Enrique Rojas is a reporter and columnist for ESPNdeportes.com and ESPN.com.