The Morocco international has been flirting with a move away from San Siro just a year after signing for the Nerazzurri from Real Madrid.
Chelsea were also said to be interested in signing the 22-year-old but PSG have all but beaten the champions of Europe to the signature of the former Borussia Dortmund man.
The deal is believed to be done in the region of €70 million per reports in France, including various performance-related bonuses.
“Piero Ausilio was working on it, we are in the conclusive stages. There are some formalities to be completed, but I think within a day or so we can conclude it,” Marotta told Sky Sport Italia.
“Obviously, this is a painful moment for us, but I am an administrator who must guarantee the economic sustainability of the club during a difficult time for the world of football in general.
“Once the Hakimi operation is concluded, it will allow us to have a bit of breathing room and we really hope that we will no longer need to sell any other big players, as we want to maintain most of the squad that won the Scudetto.”
Among the potential replacements for Hakimi at Inter Milan are said to be Arsenal’s Hector Bellerin or Davide Zappacosta.
He added: “We are a team, working with the coach and various collaborators. We must have patience to make the most of opportunities on the transfer market. I don’t expect the big clubs to make many large transfers.”