Cook, who netted eighteen goals during his debut season in the EFL, is the subject of plenty of transfer speculation with a host of clubs, including, Grimsby Town, Salford City and Tranmere Rovers all vying for his services.
But Clarke, who has already added Stuart Sinclair and James Clarke to his side, believes that speculation is part and parcel when it comes to a goal-scorer like Cook, and insists that he is focussed on adding players to his squad rather than allowing them to leave.
Speaking via the Express & Star, Clarke said; "There will always be interest in players that score goals up and down the country. For me, Andy is a Walsall player and I will crack on with the squad that I have got here.
"I want to build on the squad I have got. Different scenarios unfold during the course of the season and through the course of the window, and we will look at everything.
"But for me, Andy Cook is a Walsall player, and he will continue to be a Walsall player unless it is right for the club."
With just thirteen players on the books the Saddlers continue to be linked with new arrivals, the latest of which is soon-to-be former Newcastle United defender, Stefan O'Connor, who was named among a host of players to be leaving the North East giants at the end of the month.