Although Whig grandees such as Portland and Fitzwilliam privately agreed with Burke's Appeal, they wished he had used more moderate language. Fitzwilliam saw the Appeal as containing "the doctrines I have sworn by, long and long since". Francis Basset, a backbench Whig MP, wrote to Burke: "...though for reasons which I will not now detail I did not then deliver my sentiments, I most perfectly differ from Mr. Fox & from the great Body of opposition on the French Revolution". Burke sent a copy of the Appeal to the king and the king requested a friend to communicate to Burke that he had read it "with great Satisfaction". Burke wrote of its reception: "Not one word from one of our party. They are secretly galled. They agree with me to a title; but they dare not speak out for fear of hurting Fox. ... They leave me to myself; they see that I can do myself justice". Charles Burney viewed it as "a most admirable book—the best & most useful on political subjects that I have ever seen" but believed the differences in the Whig Party between Burke and Fox should not be aired publicly.

Who thought Burke should have written in a more moderate tone?