Morgan's comments followed CBS's cancellation of Colbert's show, with the New York Post also highlighting Colbert's frequent featuring of 'leftist' guests.
The British broadcaster supported US late-night TV legend Jay Leno's view that modern talk shows have become too political and divisive.
While CBS cited a 'financial decision' for the cancellation, many of Colbert's supporters questioned the timing, particularly after Paramount's $16m settlement with Donald Trump.
Donald Trump expressed satisfaction on social media regarding The Late Show's cancellation, stating he 'absolutely love[d] that Colbert got fired'.