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Vidal has found regular playing time hard to come by this season, having slipped down the squad pecking order at Barca since Frenkie de Jong's arrival from Ajax last summer.
However, Inter CEO Marotta is not certain a deal will be pushed over the line if Valverde ends up leaving Barca, as pressure continues to mount on the Spaniard.
There were fresh calls for Valverde to be sacked following the Spanish champions' 3-2 Supercopa de Espana semi-final defeat against Atletico Madrid in Saudi Arabia on Thursday - which saw them miss out on a final appearance against arch-rivals Real Madrid.
Marotta delivered an update on Inter's pursuit of Vidal during an interview on Radio Rai, stating: "It depends on various factors. He's a player that interests us but I think at the moment Barcelona's coach is at risk [of being sacked], so the situation depends on that."
Goal has reported that Barca have no plans to get rid of Valverde before the end of his existing contract, which is due to run until the end of the current campaign.
The 55-year-old tactician also has the option to extend his stay by an extra year, and he has expressed a desire to continue "giving everything" to the club's cause.
Vidal will be back in contention for a place in Valverde's line up when the Blaugrana return to La Liga action on January 19.
Barca are due to welcome Granada to Camp Nou, and cannot afford any slip-ups, with only goal difference keeping them top of the standings ahead of Madrid at the moment.
The Nerazzurri could dethrone Juventus if they continue on their current trajectory, with Marotta admitting that such a feat would be a "moment of great transition" in Italian football.
He added: "It would certainly be a moment of great transition. What matters is that we finish at the top at the end, even if Juventus has the capacity to finish ahead of us. Inter will win the Serie A if Juventus lose it."