You probably don't want to remove those entries from the issues, as that would leave "closed" issues also "unresolved".
There is no bulk remove, because Jira needs to check you won't be trashing your data if you do it.
Rather than mess around replicating all the checks and working out which ones you could remove safely and automatically with database hacks, or even code, it is probably going to be easiest to simply go over them one by one and click delete. If there are no issues using it, Jira will remove it. If there are, it will do all the search and updates you need when you select the new resolution for them.
As I usually have script-runner or code stuff to hand, I would be tempted to script removal of 0-issue resolutions, but I don't think you'll find you have any.
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