The 31-year-old has accepted a one-match ban for striking St Kilda's Jack Steven on Saturday night.
The incident attracted the lowest possible penalty (a reprimand and 80 carryover points), but Podsiadly's poor recent record bumped it up to a one-game suspension, so he will have to watch Friday night's clash with North Melbourne from the sidelines.
In recent weeks, Jimmy Bartel and Steve Johnson, who has been banned three times this season, have also missed matches through suspension.
"I'm speaking on behalf of the club, and specifically the players, when I say that we're disappointed with the position that we've put ourselves in," Scott said at Simonds Stadium on Tuesday morning.
"We accept that the game is sometimes a line-ball thing when it comes to these incidents.
"But to stand up here and say, 'They've been really line-ball and it's not as if we've got a huge problem, they're all one- or maximum two-week things,' kind of misses the point a little bit.
"We've put ourselves in a position now where we need to be extremely careful. Now Pods has hurt the team by not being available this week.
"So collectively – the players, coaches and administrators within the Geelong Football Club – we need to work harder to address these things."
Podsiadly's suspension has come just as he was starting to hit some form.
The big forward collected 15 possessions in Saturday night's huge win over the Saints.
He also hauled in 11 marks, two of which are among this week's nominations for mark of the year.
"That's what makes it slightly more disappointing, I guess," Scott said.
"If there's one positive to draw from it, and this is really clutching at straws, his carryover points after this weekend will be lower.
"But he [Podsiadly] is going to miss a really important game against good opposition, in North Melbourne, when he was in really good form and really helping the team.
"We thought, except for his goal-kicking, that on the weekend he was absolutely outstanding.
"We need to improve those little aspects of his game, but in terms of the way he's playing and attacking the ball and marking the footy, he does look to be getting himself into pretty good form coming into the finals."
Adam McNicol covers Geelong news for AFL.com.au. Follow him on Twitter at @AFL_AdamMcNicol
