Barca's accounts are “healthy” again, Laporta said on Tuesday, with an expected income this season of £1.07billion and a budgeted profit of £239million.
“We had to make some levers, which were economic operations that saved the club from ruin, and now the club is in economic recovery,” Laporta told Spanish news agency EFE.
“But despite that, according to the rules of financial fair play of the Spanish league, we cannot sign [players].”
He added: “We and some other LaLiga clubs are also trying to convince LaLiga to be more flexible, and allow us other types of interpretations that can make Barcelona even stronger.”
Barcelona recorded a profit of £85.5m for the 2021-22 financial year, the club said in September.
To offset losses and comply with LaLiga's financial fair play rules, the club sold 25 per cent of their domestic television rights and a 49 per cent stake in Barca Studios for more than £610m.
That allowed Barcelona to spend north of £130m in transfer fees for Robert Lewandowski, Raphinha and Jules Kounde.
Laporta added that Barcelona must continue to generate more income and reduce costs.
He insisted, however, that the financial fair play “should be harmonised” in all European leagues because of “inequalities”.
“It is more flexible in the Premier League than in Spain and it doesn't make much sense to me,” Laporta said.
Additional reporting by Reuters.