Atletico dethroned titleholders Liverpool in the last 16 before the Champions League was suspended due to the coronavirus pandemic in March.
The Champions League could resume in August, with the Bundesliga back underway as LaLiga, the Premier League and Serie A prepare to return this month.
Atletico lost two Champions League finals under Diego Simeone in 2014 and 2016, but Cerezo told Movistar: "We are very special, we can win a Champions League without an audience. It could be our year."
LaLiga will restart with a Seville derby between Sevilla and Real Betis on June 11 following the COVID-19 crisis.
Atletico, meanwhile, will travel to Athletic Club behind closed doors on June 14.
Simeone's men are sixth in the table with 11 matches remaining, a point behind Real Sociedad and the final Champions League qualification spot.
"In the league we are in a difficult situation and in Champions we are very good," Cerezo said. "A few games away from reaching a final, which is where we like to be."
"He [head coach Simeone] is calm and has confidence in what he does and will direct us to get into the top four," added Cerezo.
The coronavirus pandemic is set to impact the transfer market as clubs feel the financial effects of the crisis.
Atletico spent heavily at the start of the season after Antoine Griezmann joined Barcelona, breaking a club record to sign Joao Felix, while Marcos Llorente, Hector Herrera, Felipe, Renan Lodi, Mario Hermoso and Kieran Trippier also arrived.
Looking ahead to 2020-21, Cerezo said: "There is a possibility that nobody will be signed, but we will have to wait for what happens in the season. The transfers will be very difficult for everyone."