Cristian Chivu said Inter's domestic success should never be taken for granted after they completed a Serie A and Coppa Italia double, while Lautaro Martinez said the Nerazzurri coach had done a "10 out of 10" job.

Inter added the Coppa to their league title with a 2-0 success over Lazio at the Stadio Olimpico, with Marcus Thuram and Martinez scoring in the first half.

Only Juventus (15) have won the Coppa more often than Inter, who have now lifted Italy's domestic cup on 10 occasions, while they have won each of their last five finals in the competition.

This is the first time the Nerazzurri have won the domestic double since 2010, when Chivu was part of a team that also won the Champions League under Jose Mourinho.

Although Inter fell short in Europe again this season, falling to Bodo/Glimt in the knockout-stage play-offs, Chivu said winning trophies at home is still something to celebrate. 

"Inter won two trophies this season, we deserved them after a good campaign," Chivu told Sportmediaset.

"We are all happy with what we have overcome in these years. We're happy for our fans, happy for the club always showing us support.

"We won the Scudetto and the Coppa Italia, and that should never be taken for granted, so we're very happy."

Martinez's three goals in Coppa Italia finals are the joint-most by any Inter player, alongside Hernan Crespo and Julio Cruz, but he chose to highlight Chivu's work after full-time. 

"We'd give Chivu a 10 out of 10, because he helped us so much," Martinez said.

"It means a lot, because it was not easy to get back on track after what happened last season, but we managed a truly remarkable season."

For Lazio, meanwhile, the result capped what has been a frustrating season, as Maurizio Sarri's side are unable to secure European qualification through Serie A.

Sarri's future with the Biancocelesti has been debated in recent weeks, and he did not offer any certainty after Wednesday's defeat. 

"I don't care about my future tonight; it's up for discussion on both sides. I'm sorry for the boys. I saw them in a difficult state of mind. I'm sorry for the fans," Sarri said.

Sarri then turned his attention towards Sunday's derby clash with Roma, which has become a subject of controversy with Lazio pushing for a last-minute change to the kick-off time, and suggested he might not bother turning up for that match.

"My feeling is that, on Sunday at 12.30, I won't come," Sarri said. "The mess comes from a series of mistakes made by the league.

"If I were the president, I wouldn't even introduce the team. There are five teams playing for the Champions League, which is worth €80m, and Roma's game is played at 12.30? This is not football."