“I am confident we will stay up and I’m confident that you will see in years to come where Forest will be,” the 56-year-old said.
“It’s a great team, it inspires us and we want to do more and you will see in the years to come that we have big dreams for Forest.”
In March, Forest were docked four points after an independent commission found their losses to 2022-23 breached the threshold of £61m by £34.5m.
Premier League clubs can lose £105m over three seasons – £35m per campaign – but Forest’s maximum loss was only permitted to be £61m because they spent two years of the assessment period in the Championship.
“It is stressful because of what has been happening since the beginning of the year with some decisions and points deduction,” Marinakis said.
Forest’s appeal was rejected just days after the club were charged with misconduct by Football Association over a social media post that questioned the integrity of the video assistant referee (VAR) following a 2-0 defeat at Everton.
“It’s not fair what has happened so far,” said Marinakis.
“Referee decisions have cost us points and this is something that has been repeated and repeated and what we expect for the Premier League and referees is to correct these mistakes.
“It’s a pity as we have a great appetite for the club and I never give up.”
Nuno Espirito Santo’s side had three penalty claims rejected against Everton and the club claimed they told referees body the Professional Game Match Officials Limited (PGMOL) that the game’s VAR Stuart Attwell was allegedly a fan of relegation rivals Luton.
“It was very frustrating to see three repeated mistakes that took place from the same [Everton] player. Also we had informed the Premier League chairman that… all referees have a preference which team they support,” Marinakis added.
“Unfortunately nothing happened and they didn’t make any change and then we saw what we saw.”