The charity are seeking an "urgent" meeting about proposed changes to football's takeover rules following the acquisition of the Magpies by a Saudi Arabian-backed group.
The takeover was 80 percent financed by the Saudi Arabia's Public Investment Fund who the Premier League say are separate from the state.
But Amnesty International UK's chief executive Sacha Deshmukh is concerned with "the integrity of English football".
He said: "The way the Premier League waved this deal through raises a host of deeply troubling questions about sportswashing, about human rights and sport, and about the integrity of English football.
"How can it be right that the Premier League's current owners' and directors' test has nothing whatsoever to say about human rights?
"The events of last week will have lent even more urgency to the Government's ongoing review of the governance of English football.
"Football is a global sport on a global stage - it urgently needs to update its ownership rules to prevent those implicated in serious human rights violations from buying into the passion and glamour of English football. "
Businesswoman Amanda Staveley, who is part of the consortium, says they are in it to win trophies.
She said previously: “Our ambition is aligned with the fans – to create a consistently successful team that’s regularly competing for major trophies and generates pride across the globe.
"Absolutely … Newcastle United is the best team in the world.
"We want to see it get those trophies, obviously.
"At top of the Premier League, in Europe, but to get trophies means patience, investment, time.”