The Celtic captain has backed the 23-year-old after his miss at St Johnstone.
The Hoops have already wrapped up the Scottish Premiership but were still left frustrated on Friday night when they could not break the hosts down, leaving St Johnstone with a 0-0 draw.
A golden opportunity did present itself to Forrest, however, but the 23-year-old couldn't find the back of the net as a bobble in the pitch prevented a clean finish.
Celtic skipper Brown has backed the 'top player,' though, telling reporters: "It wasn’t James’ fault. He’s taken a great touch and his pace has taken him away from the defender.
Meanwhile, Brown also spoke highly of Celtic team-mate Charlie Mulgrew, who recently returned from a lengthy spell out injured.
The Bhoys captain believes Mulgrew's fitness will not be an issue when it comes to international duty for the Scotland squad and praised the Celtic man's talent and 'great brain.'
He added: "Can Charlie come back in for Scotland? He could play 90 minutes no bother because he’s naturally fit.
"He’s got a lot of talent, a great brain and understands the game, so that would get him through anything."
Despite dropping points at St Johnstone, Celtic remain 14 clear of second-placed Aberdeen in the Scottish Premiership, ahead of their final-day clash at home to Inverness Caledonian Thistle, where Brown will lift the league trophy.