I suggest you some places where to eat local, high quality products.
Botteghelle 65 is a small but very interesting place, where to eat lunch and dinner. You find him just after the Cathedral, turning to the corner on your left, Pino will offer you local high quality products: cheese, salami, vegetable, and much more.
address: via Botteghelle 65 – 84121 Salerno 
089 232992
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Another interesting place is Hydra restaurant, just behind my studio apartment, precisely in Via Antonio Mazza, 30, 84121 where to eat at dinner a lot of specialities. Young but expertised people.
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The best Pizza in Salerno done by local d.o.p. products – address: Via Sabatini, 4, 84121
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The best ice cream in Salerno, historical place where a lot of generations have eaten the famous NOCCIOTELLA ice cream in briosche.