Caretaker boss Mike Phelan is preparing to lead Hull in their Premier League opener against Leicester on Saturday.
The 53-year-old took temporary charge of the top-flight newcomers after Steve Bruce left the club last month.
The Welsh Football Association rejected an approach from Hull to speak to national boss Chris Coleman, while Gianfranco Zola was also interviewed.
“I possibly might be in charge against Leicester but you never know what a day can bring in football,” Phelan said.
Speaking to the Hull Daily Mail, he added: “We move forward now and see what the week brings.”
Hull secured their return to the Premier League by beating Sheffield Wednesday 1-0 in last season’s Championship play-off final at Wembley.
But Bruce ended his four-year stay after a breakdown in his relationship with vice-chairman Ehab Allam.
His squad had been reduced to just 13 fit senior players by a spate of long-term injuries.
Goalkeeper Allan McGregor (back) and defender Alex Bruce (Achilles tendon) were ruled out for between four and six months, full-back Moses Odubajo was sidelined for up to six months with a knee ligament injury and captain Michael Dawson for three months because of a medial knee ligament injury.
Senegal midfielder Mohamed Diame has since rejected a new deal and joined Championship side Newcastle.
“I wouldn’t say this has been my worst pre-season because you always take something from it, but it’s certainly been a disruptive one,” added Phelan, a former Manchester United player and assistant manager.