Learn English – “In regard to” or “in regards to”

"No comments" is correct, and this construction is common in English. For example, we get singular agreement for number for the value of 1, and plural agreement for anything else.

• 5 pizzas
• 1.5 pizzas
• 1 pizza
• 0.5 pizzas
• 0 pizzas

This extends to "no" as well.

Using "no" combined with a singular is possible, but implies that there would only be either one of that thing, or nothing. This is much more rare (though it comes up from time to time). You might read in the newspaper, "When asked about the situation, the press secretary had no comment." Here it is singular because you either have a comment about a matter, or you don't. If you say a lot of things, it is still considered one comment (at least in the journalistic sense of the word).

It's a poor usage and had better be avoided. Here is what the American English Thesaurus has to say:

As a noun in with regard to and in regard to, the singular noun is correct. The plural form (as in with regards to and in regards to) is, to put it charitably, poor usage—e.g.: “Single men and women are overwhelmed and confused by a barrage of information and advice on what to do and what not to do in regards to [read in regard to ] finding Mr. Right and Ms. Girl-of-My-Dreams.” ( Ebony; Dec. 1997) or “He became furious at the mere mention of ... the columnist who accused him recently of ‘judicial exhibitionism’ with regards to [read with regard to ] his trade-agreement ruling.” ( New York Times; Sept. 17, 1993.) The acceptable forms are best used as introductory phrases, but even these may be advantageously replaced by a single word such as concerning, regarding, or considering, or even in, about, or for. Regards is acceptable as a verb in the phrase as regards, a traditional literary idiom (though now a little old-fashioned), and the past participle regarded commonly appears in two combinations: one, highly regarded, is a vague expression of praise; the other, widely regarded as, usually leads to words of praise—though it would certainly be possible to say that someone is “widely regarded as beneath contempt.” It is a mistake, however, to say widely regarded without as: “Crotty has published four novels since leaving the newspaper, and he's widely regarded [read highly regarded ] by both fiction writers and journalists.”.