Cox has previously expressed concern for Strong's immersive acting technique, saying to The New Yorker: “I just worry about what he does to himself. I worry about the crises he puts himself through in order to prepare.”
Strong addressed the comments in a cover interview for the latest edition of GQ where he said: “Everyone’s entitled to have their feelings. I also think Brian Cox, for example, he’s earned the right to say whatever the f*** he wants. There was no need to address that or do damage control… I feel a lot of love for my siblings and my father on the show."
He added: "And it is like a family in the sense that — and I’m sure they would say this, too — you don’t always like the people that you love. I do always respect them.”
Strong also replied to comments from Cox in which the Scottish actor claimed there was a lot of "pain" inside his on-screen son.
Strong rejected the characterisation: “You know, I don’t think so. I don’t think there is. There’s certainly a lot of pain in Kendall, and I haven’t really met Brian outside of the confines of that.”
Strong shot to fame playing Kendall Roy on HBO's Succession in which Cox plays his father and tycoon Logan.
The show follows the Roy family as they battle for control of the conglomerate founded by Logan. Succession also stars Kieran Culkin, Alan Ruck and Sarah Snook as Kendall's siblings Roman, Connor and Shiv while Matthew Macfadyen plays Shiv's husband Tom. Nicholas Braun also stars as Cousin Greg.
Succession's fourth season is set to premiere on HBO and Sky Atlantic on 26 March.
Watch below: Anne Hathaway joins support of Jeremy Strong amid method acting criticism.