Ivan Perisic headed the champions beforehand after 11 minutes in Salerno and Denzel Dumfries crashed a effective shot in off the bottom of the bar within the 33rd minute to give them a available cushion on the ruin.
In the second half, Alexis Sanchez finished off an excellent Inter circulate after 52 mins, Lautaro Martinez scored an opportunist intention in the 77th minute and Roberto Gagliardini rounded out the scoring 3 minutes from time.
It became Inter's 6th straight victory within the league and 5th instantly easy sheet.
Inter, who have one in shape to play before the midway factor of the season, moved 4 points ahead of second-positioned AC Milan, who on Sunday host fourth-place Napoli, and six ahead of 1/3-located Atalanta, who host Roma.
Salernitana, with Franck Ribery in exceptional form, had possibilities.
They could have equalised had it not been for a great store from Samir Handanovic from Joel Obi after 30 minutes.
But ultimately they couldn't forestall Inter placing a club file for dreams in a calendar 12 months: 103 before they face Torino in their final recreation of 2021.
In Friday's different game, Lazio beat Genoa 3-1 at home to climb above Empoli into eighth, degree on factors with Juventus who face Bologna on Saturday.
