Ange Postecoglou preferred not to comment when asked about Celtic fans singing during a minute of applause in memory of the Queen ahead of the Cinch Premiership game against St Mirren in Paisley.
Some Hoops fans chanted ‘if you hate the Royals clap your hands’, while a banner featuring the same phrase could be seen outside.
Celtic boss Postecoglou previously expressed the club’s wish for fans to be ‘respectful’ during any tributes.
After his side’s 2-0 loss, the Greek-born Australian said: “I’ve covered all of this in two press conferences, I’m not going to do it in three.
“I understand why the interest is there, but I’m a manager at a football club and I go to press conferences to talk about football.
“We’ve addressed this, we’ve done everything we need to do, it’s time to move on.”
The Glasgow club have been subject to disciplinary proceedings by UEFA after fans displayed an ‘F*** the Crown’ banner during Wednesday’s Champions League draw against Shakhtar Donetsk in Poland.
There were also disruptions to the tributes at some of Saturday’s Premiership matches.
A minute’s silence at Ibrox was interrupted by Dundee United supporters. Derogatory boos and chants could be heard coming from around the corner of the stadium housing several hundred United supporters before Rangers played God Save the King.
In a brief statement, United later said they had “reached a hand to inform our supporters of the pre-match arrangements in the hope that the minute’s silence will be observed”.
There were similar reactions ahead of Hibernian’s game with Aberdeen at Easter Road, where boos and chants were audible for a minute of applause.
The Scottish Football Association had postponed all matches the previous weekend following the Queen’s death and had given clubs the option of whether and how to honor the resumption of matches.
In a joint statement with the Scottish Professional Football League last Monday, the SFA said: “This week, as a mark of respect and in keeping with the national period of mourning, local clubs may wish to observe a period of silence and/or play the national anthem just before kick-off, and players may want to wear black armbands.