Where does “palermitain” come from?

palermitain (French) comes from Italian palermitano, from Latin Panormitānus, from Latin Panormus, from Ancient Greek Πάνορμος, from Ancient Greek πᾰν-, from Ancient Greek πᾶς, from Proto-Hellenic *pánts.

Ancestry of “palermitain”, step by step

Step	Language	Word	Meaning
1	Italian	palermitano	Palermitano
2	Latin	Panormitānus	—
3	Latin	Panormus	—
4	Ancient Greek	Πάνορμος	Panormus; Bandırma, Marmara, Turkey
5	Ancient Greek	πᾰν-	every; all, every
6	Ancient Greek	πᾶς	all, every, each; whole
7	Proto-Hellenic	*pánts	—

Every word from Proto-Hellenic *pánts →Every word from Ancient Greek πᾶς →Every word from Ancient Greek πᾰν- →