The Austria international was keen to admit that a number of clubs are looking to acquire his services, suggesting he is open to a move away from the Swiss Super League
The clubs were listed to the 21-year-old as potential suitors, along with Barcelona, and he refused to dismiss links to many of Europe's top clubs.
"On the names of the clubs there is some truth. With the exception of Barcelona," Dragovic told Kurier.
"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."
Dragovic joined Basel in February 2011 and went on to outline the factors that would encourage him to quit the Swiss champions.
"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 club must at least be represented in the Europa League. For with Basel I have the chance to play in the Champions League."