Dyche admits the Ukraine international isn't in his plans at Forest.
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“We have spoken to the player, made it clear in his situation, he is aware of that so we will see what happens,” said Dyche at his pre-match press conference on Friday.
"We will see what happens, we are being open with him, he is a thorough professional, he has been and I am sure he will be going forward.”
Zinchenko would be free to find another loan club if Arsenal choose not to add him to manager Mikel Arteta's squad for the second-half of the season.