Hi  @susan_skees 

You cannot archive your old courses, but you can remove them from your Dashboard and from your Favorites Courses list.

• Go to Courses,
• Scroll down to All Courses,
• Once in the All Courses list, simply un-star any courses you no longer wish to see on your Dashboard and default course list.

This guide will provide more details if needed https://community.canvaslms.com/docs/DOC-12896-4152719654 

Kelley