The Board usually has the right to set open and close dates of swimming pools, as well as the hours. You will probably find it in the Rules & Regulations of your governing documents. However, at this time, our pools are also locked due to the COVID-19 Health Department Guidelines. Our Tennis Courts are also closed; although, they may be the first to open in regard to our amenities.
Our Association pools are considered "public pools" by the Health Department. We have fought this as we believe it should be classified as a private pool since you need a membership to use (Homeowner/Resident being the membership). But lost that battle. So, your pool may be under the Health Department guidelines, and your Board has to comply with that. Check out your State Health Department Guidelines on public pool openings; then "fight" your battle. I'm sure many residents will be on your side. A campaign of emails, phone calls, and other petitions to your Board and/or Management Company should get a response.
With all that said, the Board should post a notice on the pools with an explanation of its closure and the anticipated date of opening.