The film star said he does not believe he has an 'overbearing, manipulative or controlling personality'.
The pair first met when Ms Heard auditioned for The Rum Diary, which Mr Depp was acting in and producing.
The Hollywood actor's libel action against the publisher of The Sun is under way at the Royal Courts of Justice in London.
The actor is suing News Group Newspapers, publishers of The Sun, over a 2018 article which referred to him as a wife beater.
The Hollywood star's ex-wife, Amber Heard, also attended, with both wearing scarves over their faces as they arrived at the High Court.
Culture Secretary Oliver Dowden contacted Tom Cruise to inform him of the new guidance which is due to be published this week.
Staff at a Showcase cinema in Kent all wore masks and were subject to mandatory temperature checks on arrival at work.