Is there any redmine
REST API available for company admin to get the details of user by giving users email id.
details like redmine KEY etc
Yes there is, you can do what you want in 2 API requests:
1) http://your-redmine-url/users.json?name=user@email.com
Using this request you will get basic details for user with email user@email.com
2) http://your-redmine-url/users/193.json?include=memberships,groups
Using this request you will get additional details for user with ID 193 (which we got from previous request) like user's API key, status etc.
Also note the following:
All this info is from Redmine docs, which you can find here.