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You just need your audience to sympathize with your protagonist.  This sympathy can be based on shared identity, or shared personality aspects, or shared goals.

Consider the one-panel comics with "Dennis the Menace" and Mr. Wilson.  Dennis is a "menace" -- he is closer to chaotic neutral than to lawful good.   Whereas Mr. Wilson is a much-provoked lawful good.  The audience might sympathize with Dennis for several reasons:

 * We don't expect young children to have fully-developed moral-senses.
 * We remember making mistakes as children.
 * We are reading the comic to get a good laugh.  Chaotic / trickster characters tend to do things that are funny.
 * Theoretically, as an established adult homeowner, Mr. Wilson is more powerful than Dennis.  Americans are trained to sympathize with the underdog.