The Brazilian defender found himself in and out of the PSG side last season, making 21 Ligue 1 appearances in his first year following a move from Roma.
His inability to hold down a regular place in Laurent Blanc's starting XI saw him linked with a move away from the French capital this summer, but the 20-year-old says he will stay at the Parc des Princes and hopes to become a more important player for the team.
"Last season the situation was I didn't have a very good sequence technically as a starter at PSG," he told ESPN Brasil.
"But I did have a good run of games at the start of this season because of the World Cup and all the players who were there being on holiday.
"I have played every game so far, from pre-season to the start of the season - it has been a good run for me.
"Initially, I will stay at Paris Saint-Germain. I want to continue my work here. There were a few conversations with other clubs, but the president soon shut those down and rejected to negotiate me.
"He trusts me a lot, so my path for now is to stay at PSG. We have Thiago Silva and David Luiz who are two of the best defenders in the world and for me it is very good to be with them, so that I can learn and show my value and be as good as they are."
The centre-back has been included in new Brazil coach Dunga's first squad for their friendlies in the United States next month.
The youngster admits he is still disappointed at being overlooked by Luiz Felipe Scolari for the World Cup, despite his absence meaning he avoided the 7-1 semi-final humiliation at the hands of Germany.
Marquinhos continued: "I had expectations about being at the World Cup. Up until the moment of the call up I was doing a good job and trying to keep myself playing at a good level. I had a few good matches at the end of the season.
“But it didn't happen. I was very conscious and I kept my feet on the ground, I knew it would be very hard to begin with.
"I was working for it, I wanted to be there, I dreamt of playing a World Cup at home. It's not just because it ended badly that I should be relieved or say that I escaped a sinking ship. I wanted to be there, that is the truth."