Michael Laudrup has become the latest manager to be linked with the Celtic job following the departure of Neil Lennon.
Club legend Henrik Larsson emerged as the early favourite for the role last week and admitted he could envisage himself managing the Hoops in future, but insisted his focus remained on current club Falkenberg for now.
Former Brighton manager Oscar Garcia and Owen Coyle are other names in the frame for the role at Parkhead but the Scotsman suggested former Swansea City manager Laudrup has been approached by the club.
The former Denmark international, and brother of former Rangers star Brian Laudrup, replaced Brendan Rodgers at the Liberty Stadium and guided the Swans to their first-ever major honour, winning the League Cup in 2013.
His eye-catching brand of football and shrewd operations in the transfer market won the Dane many admirers but was sacked by Swansea following a poor run of results in February.
Laudrup, having also previously managed Brondby, Getafe, Spartak Moscow and Mallorca, has not returned to football since his dismissal but his penchant for attacking football has reportedly caught the interest of Celtic officials.
It is also suggested Laudrup's appointment could pave the way for Morten Wieghorst's return the club. The former midfielder spent seven years at the club between 1995 and 2002 before turning to coaching and was Laudrup's assistant manager in south Wales.
In addition to Laudrup, Paolo Di Canio has also been linked with replacing Lennon after his UK representative revealed it would be a job the fiery Italian would consider.
"Paolo would be keen to speak to Celtic. He played for the club and he certainly has a good relationship with the fans," Phil Spencer said. "There has been no contact between Paolo and the club. But if there was, it is something he would consider."
Di Canio, who won the Scottish PFA Player of the Year award in his first and only season with the club in 1996, has been out of work since his sacking by Sunderland last December.