The result leaves the Crows at least two games outside the top eight with five rounds remaining.
If Port Adelaide beats the Brisbane Lions on Sunday the Crows would be three games back with matches against the Power, North Melbourne, Western Bulldogs, Melbourne and West Coast to finish their year.
"We have to live with that this week," Sanderson said after the match.
"We have eight days to lick our wounds, freshen the boys up."
Those wounds may be tough to heal in the short-term as the Crows' injury toll mounts.
Patrick Dangerfield and Ben Rutten are expected return for next Sunday's Showdown but the Crows will lose Josh Jenkins and potentially also Shaun McKernan with ankle injuries.
Jenkins' injury looked particularly severe, as he was taken from the ground on a stretcher in the last quarter after landing awkwardly in a marking contest.
The Crows confirmed late on Saturday night Jenkins had fractured his right ankle and will undergo further assessment on Monday.
"McKernan’s an ankle, not as serious as the Jenkins one," Sanderson said.
Bernie Vince copped a knee to the head that required stitches but a defiant Sanderson said Vince would be fine for next week.
"We won’t be giving up, we will fight this season out," Sanderson said.
"We’ll be going as hard as we can until the siren sounds in the fourth quarter of our last game."