Choi guided the Koreans to the World Cup in Brazil next year before stepping down last week.
Hong was the captain of the South Korean side which reached the semi finals of the World Cup on home soil in 2002.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.