What are the best automation testing management tools that could be used with Selenium?

That's it! What you do with that power is entirely up to you. Primarily, it is for automating web applications for testing purposes, but is certainly not limited to just that. Boring web-based administration tasks can (and should!) also be automated as well.

Thank you guys 

1. QMetry | Test Management Software
2. Test Case Management with Test Collab
3. Application Lifecycle Management (ALM)
4. Test Case Management
5. Test Management With QAComplete

My company recently began migrating from using QTP to Selenium web driver. We are looking for a test management tool similar to Quality Center (what is QTP primary for) that would work well with Selenium. We need a tool to schedule and run our tests.

Selenium WebDriver, ANT, TestNG, Jenkins, Selenium Grid, Eclipse, 

In order to manage the Test cases, use Test4J plugin for JIRA. Also for bug and other issues management, use JIRA.

For progress reports and test plan management, there is a plugin within JIRA named Advanced Project plan. Its amazing tool right within JIRA providing progress view updates and activity monitoring. 

Management could not use this tool because this tool is specifically testing tool.

It depends upon the project requirements, project budget and type of application.

Supporting API and services testing. Offering some AI/ML and analytics capabilities. Popularity and maturity.