Using an immersion blender or food processor, combine the mint, basil, mayo, garlic, ginger, lime juice, lime zest, sugar, coriander until smooth and bright green. Season with the salt and pepper, to taste. Add more sugar or salt if needed to balance the flavors.
In a large bowl, remove the skin from the rotisserie chicken and separate the meat from the bones. I like to use all of the white meat and some of the chicken thighs/legs. Using 2 forks, shred the meat to your preferred texture.
Add the dressing to the chicken and toss to coat. Taste and adjust seasoning if needed. Cover and refrigerate until ready to use.
