Gianluca Scamacca struck for Monday's 1-0 victory.
Gasperini said: "This is what it's like in Serie A and perhaps this was the toughest fixture of them all, because we had it all to lose.
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Salernitana are a good team, even if they've been relegated, and we failed to make the most of our early chances, which put us in a tricky situation. I am sad for Salernitana experiencing this situation, the stadium was so empty that it felt almost like the covid period, but I'm sure they'll rediscover their enthusiasm next season."
On his squad options, he added: Basically the only ones who train aren't really playing. With the others, we try to go over a few small details, but for the most part it's rest and recovery."