The 21-year old Austrian defender revealed that despite some contact from all these clubs, he is considering staying with the current Swiss champions.
Basel fared poorly in the Champions League this season as they were trashed 7-0 by Bayern Munich but the Swiss club has often been a hunting ground for talent for clubs from the Bundesliga. Eren Derdiyok and Felipe Caicedo have been their most high-profile exports as the two strikers joined Bayer Leverkusen and Manchester City.
Dragovic admitted to Austrian newspaper Kurien that there are clubs who are interested in him and he might have to consider several offers in the summer.
"On the names of the clubs there is some truth. With the exception of Barcelona," Dragovic confessed.
"There are seven teams interested, two of which are from Russia. They would be very financially lucrative, but I am not looking for the most money.
"My contract runs until 2015, so if a club wants me, they'll have to put a bit of money on the table.
"Also I feel very comfortable here and in 18 months here I have developed twice as much as I could have done in Austria.
The defender is insistent that he will only join a top club as with Basel winning the Swiss Super League this year, he is guaranteed participation in the Champions League in the coming season with the club.
"The club must at least be represented in the Europa League. For with Basel I have the chance to play in the Champions League," he said.
Dragovic has made 35 appearances for the club so far this season and has 14 international caps for Austria.