Cunningham was recently named Wimbledon's player of the season for the second time in three years.
The Dublin-born defender joined the Dons in 1994 and has risen through the ranks to hold the club captaincy.
He made his international debut in April 1996 against the Czech Republic and has regularly been selected at centre back.
But Cunningham's role is likely to be that of a squad member this summer, but a well-travelled and experienced one at that.