Logan was presenting Match of the Day on Wednesday night before abruptly leaving the show during the broadcast.
She was replaced by Mark Chapman, who said his co-host had to deal with a “family emergency”.
Logan thanked people for sharing messages of love and support.
“Our dad a warrior on the football pitch, captaining club and country, a kind hearted and generous man off it,” she said.
Logan added she had spent time with her father the previous day, when they discussed their favourite meals to eat as he spent time in hospital.
