The actor, 76, stars as media conglomerate CEO Logan Roy in the hit TV series and is well known for the sweary catchphrase.
During an appearance on This Morning, he admitted that he has become more "potty-mouthed" since he was cast in the role of the mogul four years ago.
"Human beings are really weird, they really are weird - 'Can you please tell me to…', you know," he said, as the presenters laughed.
"And you are going, 'Happily!'"
"That’s why it’s the easiest thing to say because you are quite happy to tell them to you know what!" he chuckled.
Schofield admitted that he wouldn't mind having Cox say it on his Instagram.
And after This Morning had wrapped for the day he shared a video of him and the actor, who was turning the air blue.
The pair were standing together on the set of the ITV show as Cox said: "So I have been trying to tell this man for such a long time to just f*** the f*** off."
"And he simply will not f*** off," he added, as Schofield started to laugh.
"Love this man," wrote the presenter.
"Thank you @coxusa for my Logan Roy moment."
Succession started in 2018 and so far three series have been released.
Watch: Brian Cox says Hollywood is the worst place to raise daughters