Connecting to Remote Mysql Databse.

Greetings,

I was testing a web-server, where I explored certain vulnerabilities in wordpress, allowing me to download arbitrary files from the web-server. I gained the authorization credentials to the database, but this time there was something new. I couldn't connect to the web-server's databse at 3306 port(Mysql). The reason here was that my the DBA has only allowed a specific group of users to connect.

Now, if someone could help me out here, could be really great.

My question here is, how to bypass this restriction of connection to the database remotely.

P.S: This is doesnot intend to harm anyone.I take full responsibility of the information I am going to learn will not harm anyone, and is just seeked in regard of knowledge.

Thank you! :)