Consecrate Spell is the name of the feat you are taking. The book lists the only requirement as having to be of Good alignment. Spells gain the Good descriptor and those that inflict damage, half of that damage is divine damage (and not subject to energy resistance).
Strictly according to the rules, you can get it as long as you're of Good alignment. However, its the DM's call. It says nothing about Arcane casters being able or not able to use it, but arcane casters are just that, arcane casters, not divine casters. They don't have access to the divine power necessary to make their spells divine energy. I'd personally be happy if he let you take it, but I wouldn't be surprised either if he didn't.