Apostrophe kerning by contextual lookup table

I have to fix the kerning of the apostrophe, really important for the Italian (and French) language, as in the case of

L'America l'esempio l'Organizzazione

etc.

I tried to change the metric of the apostrophe, but it seems to work properly for the left side (L + '), while the metric of the next font maintains an excessive distance to the right side (' + A).

As a result, I thought not to touch the apostroph metric, but to resort to contextual kerning. I do not understand, however, which strategy should be adopted, as I have to approach the apostrophe both the letter that precedes and the one that follows.

Should I adopt Contextual Positioning? Chaining tables by classes or by coverage? And how can I operate, as written above, approaching the apostrophe both the antecedent and the following glyphs?
Thank you