The phrase "avoid informing" is correct and usable in written English.
It can be used when advising someone to refrain from sharing information or details about a specific topic or situation.
Example: "In sensitive matters, it is best to avoid informing the public until all facts are verified."
Alternatives: "refrain from notifying" or "steer clear of disclosing".
For weeks her supervisor avoided informing her of this decision – but eventually he had to tell her the truth, and release her.
Rolando Lopez denied that Luis played any role in his family's escape, and said that he had deliberately avoided informing Luis or anyone else in the family of his plans to flee, lest they be overheard by government informers in Cuba.
Divine initially avoided informing the media about his sexuality, even when questioned by interviewers, and would sometimes hint that he was bisexual, but in the latter part of the 1980s changed this attitude and began being open about his homosexuality.
The fear of stigmatisation also meant that the participants avoided informing other people that they were attending the venereal diseases clinic for treatment.
There is a growing realization among some legislators that the Bush Administration, in recent years, has conflated what is an intelligence operation and what is a military one in order to avoid fully informing Congress about what it is doing.
To avoid having informing, we need to be more tolerant.
LAI and Chll compensation effects on canopy reflectance were largely avoided by informing the inversion process with ancillary LAI inputs established empirically on the basis of a statistical machine learning technique.
The lose-lose games can and must be avoided by informing the potential players of (a) their counter-productive nature and (b) the existence of, at least, less bad, alternatives if, out of the box solutions were explored.
I suspect that I've been unhealthily avoiding being informed on "Twin Peaks" in order to duck out on having a clear opinion, like with Israel, or fracking.
