Kieran McKenna and Craig Bellamy have been connected with the Scottish champions manager position
The Championship club's Kieran McKenna says he has had "no conversations" with the Glasgow club about their coaching position, while Welsh head coach the former striker is dedicated to completing his team's international campaign.
Each are being considered with the coaching position at the Premiership title holders following Brendan Rodgers' resignation on the start of the week.
The Ipswich boss referred to the Glasgow giants as "an enormous soccer institution" but stressed he is "in the middle" of a "long-term project" with Ipswich Town.
The 39-year-old took charge of Portman Road in recent years and led them to the English top flight with back-to-back promotions, but they won just a handful of victories last season as they were relegated back to the Championship and they presently occupy 12th in the Championship.
"There have been any of those discussions," the London-born former Irish youth international said when questioned about being on the candidate list.
"This isn't a matter I have given any thought to, or where any part of my concentration is currently.
"I possess a unique job here at a special club. And we're at a crucial phase of the season. Anything external hasn't reached my awareness."
It has been suggested that the manager would be open to speaking to the Scottish side given his childhood support.
"Growing up, we all have our preferences," he said when asked about these. "It's unlikely all people has to publicly and declare what they used to be, but of course it's a really big sports organization."
The coach agreed to a new four-year contract in last year and was asked about his reported £5m release clause.
"Throughout coaching agreements, there are provisions," he responded. "I don't know what mine are and, were I informed, I wouldn't tell you regardless!
"I tackle this role like I will remain Ipswich manager indefinitely. I know that's not always going to be the situation, but I'll always give maximum effort as while I remain in position."
The former striker played for Celtic on loan from Newcastle United in 2005, but the former Welsh forward is minded to complete the ongoing global tournament campaign, a stance that would effectively rule out the 46-year-old from assuming the Glasgow position.
The Welsh squad are currently third in their qualifying group behind group toppers Belgium and runners-up Macedonia.
Wins over Liechtenstein and North Macedonia in next month would book their place in the qualification play-offs, but they are virtually guaranteed of reaching that stage, due to a successful Nations League performance, even if they fail to finish as Group J runners-up.
Given his present stance, the Wales manager, whose agreement concludes after Euro 2028, would not be available until after the play-offs at the earliest.
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