“What is the easiest way to contact a social worker?”

Check the internet. Read the background and credentials. Are the comments from previous patients? Ask your trusted friends . You would be surprised at the people who have sought professional help.

The easiest way to contact a social worker is to google the information - names and phone numbers are listed and then you would make the phone call .
Much success with everything.

Hello and thank you for your question. It depends on what type of social worker you are looking to contact. I believe you need to identify what resources you are looking to access and based on that you can better determine the type of SW you would need to contact.

Probably: contact your insurance company web site and search for mental health office visit and LCSW. Enter your zip code and distance you wish to travel (say within 5 miles or 10 miles) and type of help you need. Also, if you have a friend or colleague who you know well who has good experience with a particular social worker, try them if you feel comfortable doing so. Also, your employer may have EAPs available (usually 5 counseling sessions in confidence with a social worker) at no cost to you.
And the above answers presume looking for a social  worker for counseling, and not for help navigating legal issues or to report other concerns such as child abuse.

Call agencies in your area.