are HSA contribution tax deductible during my self-paid COBRA continuation of my HDHP?

I just resigned from my corporate job, and will continue getting covered my High-deductible Health Plan by paying it myself through COBRA. 

 

So, I understand that although under COBRA, since I will still be in a HDHP, I am eligible to make HSA contribution (up to the allowed yearly maximum). if this is correct, will my HSA contributions while on COBRA be tax-exempt? 

 

If so, do I claim the tax-exemption when I file my tax return next year? Will this be possible, even if I do not itemize deductions?

 

Thanks.