"Obviously there is still pressure on all sides, but if we remain consistent and united I don't envisage any issues we can't ride out," Scaramucci also wrote.
Scaramucci was fired as White House communications director at the end of July, less than two weeks after his appointment. He has since returned to SkyBridge Capital, an investment firm he founded, as a co-managing partner. Scaramucci's comeback at Skybridge came as China's HNA Group dropped its bid to buy the firm after months of U.S. government scrutiny.
Read Scaramucci's full statement to CNBC about the Goldstone email:
"I understand what people are trying to imply, because they are obviously after the president. They're trying to imply that the email had something to do with Russia, but I can state declaratively that it had nothing to do with Russia because I had no involvement there. Moreover, I supplied all of my emails as requested by both the House and Senate and have never been asked to testify before the Mueller investigators or the House or the Senate."