Zenden, who also played for Liverpool and Middlesbrough, is hoping to win a move back to England after leaving Marseille earlier this summer.
The 32-year-old is available on a free transfer and the 32-year-old Zenden hopes to seal a switch before the start of the Premier League this weekend.
"It is true that I am talks with a few Premier League clubs and I hope to finalise a move before the 15th of August for the start of the Premier League," Zenden told Sky Sports' website.
"Hull, Blackburn and Portsmouth have expressed an interest and I am talks with those clubs, but I have not decided anything yet.
"I am free agent after I turned down the offer of a new two-year contract at Marseille.
"There are other teams interested in me, but my main perference is to move to England.
"I obviously had six years there and I feel I am suited to playing there and I have the experience of having played there before.
"The Premier League is the best around, with the best players and I really enjoy the atmospheres inside the stadiums.
"I am in Holland at the minute, but once a deal is agreed with a club I am ready to get on the first flight to England."