The 27-year-old only conceded two goals in five games and kept clean sheets against Italy, England and the Netherlands in Brazil.
The shot-stopper has been touted as a target for Arsenal, Liverpool and Everton in recent weeks following his stellar displays for Costa Rica.
And England legend Southall feels that Navas would be well-suited to the English top flight.
“I think looking at the Premier League now he could do [well],” Southall told talkSPORT.
“I thought he did really well [at the World Cup]. The only thing I would question was his kicking because he booted it down the middle and gave away possession I don’t know how many times last night.
“His shot-stopping was good, his [claiming of] crosses were debatable, but I think he would get away with that in the Premier League, his bravery was good because he came out sliding at people’s feet and his handling was decent.
“So I think he would do all right in the Premier League.”
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