This thread hasn't been touched in a long time but I dug around and found the problem. I fixed this problem by directly editing the DNN database. I'm on version 9.4 although, I'm sure this would work with any version as this issue is apparently caused some wonky code in the Azure AppService deployment packages.
To resolve, I just had to manually edit the dbo.Schedule table. I use Azure Data Studio because I'm on a Mac but SSMS or any other manager will work as well. I'm sure you can even use the DNN built-in editor although I'm not very familiar with it.
While digging through the dependencies I noticed that unlike the non-operational Export/Import job, all the working jobs had a NULL value in the "Server" field whereas the Export/Import job had the Azure server name written to it. I manually changed the value of this field to NULL and the Site Import job that had been perpetually spinning, started immediately.
Also, for posterity, you will want to make sure you don't have 15 different import jobs queued up before you do this because they will ALL begin processing once you commit the new value to the DB. If it took you a few times to figure out they were spinning you will probably want to go to the scheduler and delete anything you don't want to run prior to the DB edit.
Hope this helps save someone else some time. Cheers!