Yeah.. You may want to measure the length of the host to make sure there will be room for the Battery + the length of the laser module... If that's the case.. PM someone like Eudamonium or Jayrob, They'll request that you send them the host in the mail and they'll make you up a heatsink for it.
Most 532nm modules run on 3V and Li-ions deliver a nominal voltage of 3.7V and 4.2V when fully charged. This might fry the module. I suggest you add a silicon diode in series with the circuit to drop the cell voltage by 0.7V.