The Premier League duo were heavily linked with the Ivorian during the January transfer window, but neither made official moves before the deadline closed.
Rumours suggested that he was on the verge of moving to Russia in recent weeks, but with their transfer period now over, he is set to stay in the Eredivisie for the remainder of the campaign.
This leaves both Liverpool and West Ham free to up their interest ahead of the summer months, when they could make moves to prize him away from Holland.
Bony has become one of the most sought after strikers in European football, after impressing with VItesse.
He has bagged an impressive 22 goals already this term, averaging better than one strike-per-game, making him one of the most prolific forwards on the market.
As well as Liverpool and West Ham, Chelsea are thought to be interested, but may elect to prioritise other targets this summer.
Bony began his career with Ivorian club Issia Wazi, before he was snapped up as a youngster by Sparta Prague.
At 24-years-of-age he a full international for the Ivory Coast, representing his nation at the recent Africa Cup of Nations.