The Hoops take on their Old Firm rivals in a Betfred Cup semi-final at the national stadium with the winners facing Aberdeen or Morton in the final.
Celtic, top of the Ladbrokes Premiership and on course for a sixth consecutive title, last captured all three domestic trophies under Martin O’Neill in 2001.
However, talk of achieving the feat was a particular feature of Ronny Deila’s tenure as boss, which ended at the end of last season, after which he was replaced by former Swansea and Liverpool boss Brendan Rodgers.
Brown, who moved to Parkhead from Hibernian in 2007, said: “I think we have to focus one game at a time.
“A treble would be great but I have been talking about it for nine years now and I am getting a little bit bored, I keep talking about it and not doing it.
“But here’s hoping this could be the start of a great season for us.”
Rangers beat Celtic on penalties after a 2-2 draw in last season’s William Hill Scottish Cup semi-final at Hampden Park before losing the final to Hibernian.
However, the Ibrox men were hammered 5-1 at Celtic Park in the Premiership in September.
Gers captain Lee Wallace acknowledged the difference in the last two matches against the Hoops and believes tactics will be key to deciding who returns to Hampden for the final.
He said: “Celtic’s improvement since last season is clear. Of course they are my rivals but if you are a football man and you study the game, it is clearly evident the improvements they have made.
“They’ve brought in a top manager who has helped bring about those improvements and a number of top players whose quality is there to see.
“It will be a real tactical clash on Sunday.
“When you look back at Old Firm games in the past, it’s always been about tough tackling and fighting.
“I’m not saying we’re not prepared to do that but I think you’ll see now - and you saw glimpses of it in the last game - that it’s becoming a real tactical fixture, a technical game where both teams try to impose their style, two good styles, head to head.
“I think it’s a really exciting game for Scottish football.”