Werder were forced to take part in the relegation playoffs after finishing 16th in the final Bundesliga standings, just one point clear of the automatic relegation spots.
A 2-2 draw in Monday's second leg against promotion hopefuls Heidenheim saw Werder secure top-flight survival on away goals, narrowly avoiding a shock demotion to the second tier.
Rashica played a crucial role in their survival with eight goals and seven assists, but he has been heavily tipped to leave the club regardless of whether they were able to stay up.
A number of Premier League clubs including Liverpool, Wolverhampton Wanderers, Aston Villa, Brighton & Hove Albion and West Ham United have been credited with an interest in the 24-year-old, who has reportedly already told his teammates that he will be leaving.
German media outlet DeichStube reports that Rashica has a £33m release clause in his contract with his current club, but that he would have been available for just €15m (£13.6m) had Werder suffered relegation.
Werder's sporting director last month confirmed that the Kosovo international is keen to leave the club this summer.