The 41-year-old is adamant that his side can still attract top players to Anfield this summer - despite losing out on the Chile international to the Gunners
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Liverpool have already completed moves for Rickie Lambert, Adam Lallana, Emre Can and Lazar Markovic this summer and Rodgers’ insists his side have no problem when attempting to attract high-profile players.
“I don’t think so,” Rodgers told reporters.
“That was one [Sanchez] where geography dictated where he wanted to go - simple as that. It’s been the other way.
“Lots of players are really impressed by what we are doing as a club and really excited about coming to Liverpool.
“It wasn't due to a lack of ambition by the club. It was about where the player and his family wanted to choose to live.
“He’s a fantastic player and would have suited us. His profile would have been great but it was not to be and we move on.”