The iconic tech brand has been accused of failing to properly inform users that their profile data may have been obtained and then kept by Cambridge Analytica.
Facebook has already confirmed that it is blocking the firm while it investigates what's gone on.
However, the London-based company has not yet deleted the information.
Adam Schiff, the highest-ranking Democrat on the House Intelligence Committee in the US, feels Zuckerberg - one of the world's wealthiest men - should be forced to face questions on the issue.
He said: "I think it would be beneficial to have him come testify before the appropriate oversight committees.
"And not just Mark but the other CEOs of the other major companies that operate in this space."
Elsewhere, former Presidential candidate Marco Rubio told NBC that some technology firms have behaved in a manner which suggests they think they're above regulators.
He explained that the growth of these firms has meant that they haven't always been held accountable for some of their behaviour.
Explaining his controversial viewpoint, Rubio said: "Their growth has been a lot faster than perhaps their ability to mature institutionally from within on some of these challenges that they're facing.
"I think another part about it is sometimes these companies grow so fast and get so much good press, they get up high on themselves that they start to think that perhaps they're above sort of the rules that apply to everybody else."