Is there a task tracker with the ability to move tasks up / down?

Question

Google

Hello.
Please tell me a multi-user task tracker for assigning tasks to subordinates so that the list of assigned tasks for a specific user can be sorted up / down in order of importance, as is done in google tasks. Not a certain number of priorities (such as low, normal, high, immediately), namely with the ability to move tasks up / down, and so that only the project manager can do this, but not the performers.
Paid, free, in the form of software or a third-party service - it doesn't matter. And, of course, as a web application.

Answer 1

https://trello.com

Answer 2

asana.com