Batshuayi has had two loan spells at Selhurst Park, with the most recent coming last season.
The 27-year-old has since returned to parent club Chelsea and now has just one year remaining on his contract there.
Should the club sign Batshuayi permanently?
It means the European champions could cash in on Batshuayi this transfer window to avoid losing him for free next year. A third stint at Palace, however, is unlikely, according to Woosnam.
“His wages are so high,” the Crystal Palace reporter told TIF. “I think we’re talking sort of £100,000-a-week at least.
“Any fee would probably be 10 million plus easily, so I don’t really see that happening. I don’t think Palace are remotely interested in him.”
Batshuayi failed to make much of an impact last season, making just seven league starts under Roy Hodgson.
The Belgium international, who has 22 goals for his country, went on to feature in 20 games in total for Palace, scoring twice.
When you take that into account, it really is hard to see the south London club signing him permanently, especially on the wages Woosnam has mentioned.
If Patrick Vieira does want to sign a striker this summer, then the Eagles will probably look elsewhere.