The film was directed by Tim Burton, with whom Depp would have a long-standing working relationship.
The highly successful film also stars Winona Ryder and features music by Danny Elfman.
According to TMG, Depp knew the messages were real and genuine.
Two weeks after filing for divorce last year, Heard was issued a temporary domestic violence restraining order against Depp after she alleged he had been violent towards her on multiple occasions during their 15-month marriage.
Net worth: Depp was reported to have a net worth of $350 million according to Celebrity Net Worth in 2013.