Can you clarify your question?
You are not eligible to contribute to an HSA unless you are enrolled in a high deductible health plan (HDHP) that meets IRS requirements, and you have no other medical coverage. If you make contributions when you are not eligible, they are not tax-deductible and there is a 6% penalty for every year that money stays in the account.
Eligibility is determined based on the type of insurance you have on the first day of each month. If you change insurance in the middle of the year, you have partial eligibility to make HSA contributions, but if you plan to be enrolled in HSA-eligible insurance for all of the next year as well, you can use the last month rule to contribute a full amount for this year even if you were not eligible all this year.
But please ask a more specific question for more details.