Gyepes claims he cannot work with Jones and is ready to leave in the summer.
Gyepes said: “If our manager stays it is very likely I will leave.
“After our defeat against Swansea in November our manager always blamed me for everything.
“I have had to accept his decision because he is the manager and I can’t do anything.”
He added: “I have waited for the end of the season because I can’t work with him.
“I have to think about my future and prepare for everything.
“I have a contract for one more year but I won’t be at Cardiff if the manager stays.”