Inter Milan themselves wasn’t expecting that performance last season, because they were not expecting to lose the Serie A title. It was almost at the end of the season that Napoli made it above them with 1 point. Nevertheless, if they put more effort into this season, then they will be able to get to the Serie A title. Even though we know that the Champions League pressure this season will definitely be different from the previous season, if they put more effort into the Serie A, it will be more useful to them, as they will not lose both.
I believe that Inter Milan has been a great force to reckon with last season despite their poor performances in both major events. Making it to the Champions League final is no mean feat and being just one point behind Napoli in the Serie A makes them pretty near the top. The new coach will have a massive part to play since everything will be determined by strategy and consistency with the same team and potent strikers. Provided they carry the kind of energy they played with in Europe to the league they stand a chance at eventually claiming the Serie A title this season.