The phrase "any explanation about how" is correct and usable in written English.
It can be used when requesting clarification or details regarding a specific process or method.
Example: "Could you provide any explanation about how this software functions?"
Alternatives: "any clarification on how" or "any details regarding how".
In addition, existing CAD systems do not provide any explanation about how they came to their conclusions.
Neither Werner, nor the FINA statement, issued from its headquarters in Lausanne, Switzerland, offered any explanation about how the test may have been manipulated, or by whom.
When Fannie Mae went into freefall last year, Chinese officials were on the phone to the United States Treasury, demanding an explanation about how their investment in the mortgage agency's bonds would be protected.
Sky News also pointed out that section 8.1 of the broadcasting code contains an explanation about how a broadcaster can justify a privacy infringement if it believes there is a public interest defence.
In Appendix 2, we give an explanation about how CFS as a proxy for crime could contaminate research and findings.
At this point, I would normally launch into an explanation about how corporations have no obligation to pay taxes and that it is government's fault if it offers companies tax breaks or leaves loopholes in the tax code.
In the first half of the series, the writers developed an explanation about how he got fired from the plant and was then rehired in every episode.
Wide-eyed, with hair like Dr Emmett Brown, he's immediately knee-deep into an explanation about how many times they had to bleach his hair to get it Chris' colour.
You haven't explained - certainly to my satisfaction and I'm sure anybody that is watching will drew their own conclusions - you have not made any satisfactory explanation about how you have informed, and kept this committee informed, about the difficulties that your department is experiencing.
