Juventus have a foot in the quarter finals of the Champions League after their 3-0 away win over Celtic last week and are currently leading the Serie A table by four points despite their 1-0 loss to Roma over the weekend.
Marchisio admitted that it would be a tough task to go all the way in both competitions but the Bianconeri will be giving their best in landing the two trophies.
He told Tuttosport: "The aim is to win the championship again and to get to London [Wembley] for the Champions League final.
"I know that it is a difficult ask, but we'll try everything possible in order to do just that."
Juventus will face Napoli on March 1 in a crunch Serie A battle between first and second - just as it was earlier this season - and Marchisio is anticipating a classic between the Serie A rivals.
He added: "I'm convinced it will be a spectacle, a great game between great sides."
The midfielder also defended his recent comments saying he dislikes the Partenopei and claims he was simply referring to the club in sporting terms, not the region itself.
"I was actually acknowledging Napoli for their excellent results over these past few years," he explained.
"I don't hate Naples [the city] - that's absurd, because every time that I go there I always manage to smile.
"I get to leave the fog behind and find a place in the sun, with marvellous people and incredible scenery."