"We will have changes [in the summer], but I cannot say anything more," Zidane said.
"I will not be here each 10 games thinking if someone played well they will stay, he played badly he must go."
Should Hazard join Real Madrid, the club are likely to let Gareth Bale leave.
The Welshman has struggled this season, with Los Blancos fans regularly booing the former Tottenham man.
Real Madrid boss Zinedine Zidane makes transfer revelation amid Eden Hazard links (Image: GETTY)
Zinedine Zidane returned as Real Madrid manager this week (Image: GETTY)
Gareth Bale could be forced out of Real Madrid this summer (Image: GETTY)
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Zidane is believed to be willing to let Bale go, though he did start the winger against Celta Vigo.
And La Liga expert Guillem Balague believes Zidane has more power in his second spell in charge.
“Zinedine Zidane wanted [Gareth] Bale out [of the club] last summer and didn’t manage to get his way,” Balague said.
“Now he’s back [as manager] and one of the things he got was more authority from the club to make decisions.