The accusations against the network follow controversy surrounding former star anchor Bill O'Reilly, who was sacked last week for alleged sexual harassment, and the ousting of former Fox News chairman Roger Ailes after a sexual harassment suit last summer.
Wright, a black reporter and anchor who has been with Fox News since 2003, claims that he "has been effectively sidelined and asked to perform the role of a "Jim Crow" - the racist caricature of a Black entertainer", Tom Kludt reported for the CNNMoney.
The source indicated to Mediaite that they now do not have any particular names yet, but argue a new conservative cable network could instantly reach more than 85 million homes.
The top brass at Fox News hope to find a woman to take the lead at the embattled cable news network, according to a new report. Fox News has lost a number of its star personalities since the allegations against Ailes came out, including Gretchen Carlson, Greta van Susteren, Megyn Kelly, and now Bill O'Reilly.
Shine, Fox News and 21st Century Fox declined to comment for this article.
While Shine runs programming, Abernethy runs the business side of the network, including advertising sales and distribution.
In December, Shine and Abernethy announced a new head of human resources.
Both Ailes and O'Reilly have denied any wrongdoing. Ailes was forced out previous year after a sexual harassment lawsuit by former anchor Gretchen Carlson, which was settled for $20 million. Shine has vehemently denied Tantaros' accusations, which most recently include allegations of digital spying and cyber stalking through sock-puppet social media accounts.
In Tuesday's lawsuit, Wright, who co-anchors the Fox show "America's News Headquarters", said that on two occasions his requests to appear on O'Reilly's show to discuss race issues were rejected. As detailed in an explosive NY magazine story, Luhn said that Shine arranged her travel to NY to meet with Ailes and he also recommended a psychiatrist when she suffered a nervous breakdown. O'Reilly, of course, also went on vacation right before he was sacked. One source described him as "Roger's bag man".
Hannity took to Twitter Thursday to express his support for Shine.
"I pray this is NOT true because if it is, that's the total end of the FNC as we know it".
"Somebody HIGH UP AND INSIDE FNC is trying to get an innocent person fired", he posted.