Heerenveen won the series, 4-2, on aggregate. Bradley, who was red carded from the second leg of the UEFA Champions League playoff semifinal series with Ajax, did not play in the first leg.
Gerald Sibon scored both Heerenveen goals on Monday to earn the draw that sealed the return trip Europe.
Clubs in England, Germany and Scotland have reportedly been monitoring Bradley's progress. The U.S. international scored 15 Eredivisie goals in 2007-08.