Shanahan's future has come under scrutiny recently after a disappointing campaign that has seen them fall from NFC East champions in 2012 to bottom of the division with a 3-10 record this year.
The 61-year-old is set for talks regarding his future with owner Dan Snyder at the end of the season, and he left no doubt that his preference was to stay with the team.
"You always want to come back. I love these [players]. At the end of the season we'll get a chance, Dan and I, to sit down and decide - he'll make the final decision - on what's in the best interest of the Washington Redskins," Shanahan told reporters.
"I'll give my opinion on what I think. Obviously he'll make the final decision. We've got guys working extremely hard, so I would like nothing more than to be with them. I understand what goes on when you win the NFC East and all of a sudden you've got three wins. I understand what goes with the territory.
"I understand there's going to be a different story every day. It's not going to change over the next three weeks. There will be a different story that comes out that we will talk about. I understand what happens. The best thing for us to do is win versus Atlanta."
Shanahan has been in charge of the Redskins for four seasons including the current campaign, having taken over in 2010.