I have underarm hyperhidrosis. I'd like to do laser hair removal. Will my sweating effect the process or desired results?

You can certainly undergo laser-assisted hair removal in the setting of hyperhidrosis.  The hair removal treatment will not affect the hyperhidrosis.  There are treatments specifically for hyperhidrosis but if your primary concern is hair removal the hyperhidrosis should not interfere with your treatment outcomes.

When undergoing laser hair removal, sweating will not affect the procedure or results. You are free to get the laser hair removal without worrying that your hyperhidrosis will have any effect on the treatment. 

You can do laser hair removal if you have hyperhidrosis but you are much better off getting Miradry. Its a microwave treatment for the axilla which is FDA approved for hyperhidrosis. The benefit of this is that it will treat the sweating component, the glands that create the smell AND the hair.  Beauty of this device is that it treats all color hair - even blond and grey. 2 treatments are needed