Baxter says he and his coaching staff will be working with the side over the cup period to try and iron out the mistakes they have made over the opening six matches.
Defensively the Chiefs have been opened up with ease in a number of games.
Harlequins missed a number of chances to add to their tally of 36 points on Sunday, while Bristol overturned a 20-point deficit with 15 minutes to go to secure a win at Sandy Park.
Baxter feels he is the right person to plot his side’s return to form as they aim for a first competitive win since May in Penzance on Friday.
“I feel very fortunate to have the job here at Exeter, it’s my club, I’ve done it for a long time, we’ve had a lot of success we’ve had some great experiences,” the 53-year-old said.
“There are only 10 of us [Premiership bosses] in this country. That’s quite a privilege and you want to make sure that’s what you understand.
“Whatever it feels like, you’re in a privileged position and you’ve to make the most of it and you’ve got to appreciate it for what it is because I know one thing right here and now, you can walk away from the pressure, but I wouldn’t want to walk away and watch anybody else doing my job.
“Do I like it when we’re going badly? Of course I don’t. I feel it probably more than pretty much anybody else.
“But at the same time I also think that it’s a privilege to be the person that has to try and turn that around and that’s how I’m going to view it.”
