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Liverpool's owners, Fenway Sports Group, have held talks with consortiums from Saudi Arabia and Qatar over the potential sale of the club in a £3bn deal.
Liverpool are also believed to be in talks with a US buyer, while Manchester United have been linked with bids from Apple and Britain's wealthiest man, Jim Ratcliffe.
"We will definitely support it if any [Saudi] private sector comes in, because we know that's going to reflect positively on sports within the kingdom."
It is believed both consortiums are private entities, not state-owned, but hold close ties to the ruling families of Qatar and Saudi Arabia respectively.
Saudi Arabia's sports minister Prince Abdulaziz bin Turki Al-Faisal recently encouraged takeover bids for both Liverpool and Manchester United.
• Man Utd or Liverpool: Which club is best to buy?
The sale of both clubs to Middle Eastern consortiums has the potential to provide them with the spending power to match Manchester City and the newly wealthy Newcastle United and could completely reshape the top of the English football pyramid.
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