The 62-year-old TV presenter – who has guest hosted the ITV daytime show on and off since 2006 – recently joined GB News after it was revealed he and wife Ruth Langsford would no longer fill in for This Morning regular presenters Phillip Schofield and Holly Willoughby on Fridays.
Holmes told The Times: “I don’t have any issues with that at all.
“I just have issues with why they can’t tell you your time is up. Just have a conversation, any conversation. I was given no reason why I was blocked."
Yahoo UK has contacted ITV for comment.
Fans were upset at the end of last year when Holmes and Langsford were dropped as Friday presenters on the show in favour of Dermot O'Leary and Alison Hammond.
But the married couple returned to present every episode of This Morning over the summer, while Willoughby and Schofield took their break between July and September.
Holmes' wife Langsford, 61, recently told Best magazine: "I'm still at ITV, with This Morning and Loose Women."
Former GMTV presenter Holmes has now moved to present Breakfast with Eamonn and Isabel alongside Isabel Webster on GB News.
Langsford said: "I'm thrilled. It's what he does best. He's always been very entertaining on This Morning - Eamonn can turn his hand to anything.
"He's a total news junkie. I'm very proud of him. Yes, no more This Morning together - but it doesn't mean there aren't other projects we can do together."
A spokeswoman for ITV said: "We would like to wish Eamonn all of the very best in his new role.
"As a duo, Eamonn and Ruth have been part of the This Morning presenting team for the last 15 years and we thank Eamonn for all of his hard work and contribution to the show.
"Ruth remains an important part of ITV Daytime both as a continuing member of the This Morning family and as an anchor presenter on Loose Women."