Can I become an Arabic language teacher to people...

We did extensive research to find the most relevant job vacancies to your field. I am pleased to inform you that we found multiple job opportunities that match. We selected several job websites which have the most relevant job vacancies to the position you're seeking. You will find links to those websites below. Please click on each to view the available job vacancies. You can apply to any job you like on those websites.
Relevant Job Vacancies:
 English language Jobs in Libya - tanqeeb for job
 English language Jobs in Libya - wadaef for Job 
Some of the job vacancies on the websites above require you to submit your CV to those jobs, so the recruiters can review them. You can also Email the recruiter of each job directly in most cases, which we recommend you do and attach your CV in your emails to them.
Other Jobs websites to consider:
I also recommend you create an account on all the following jobs websites, and upload your CV: Akhtaboot.com, Linkedin.com, Monster.com, Wzayef.net
Once you create an account and upload your CV on the above (or other) jobs websites, please send us your profile URL/link so we can help you improve your online resume. Our team has a lot of experience in creating professional CVs - so you can attract more attention from companies hiring in your field.
Below, we've compiled some information about the market you're interested in getting a job in, such as average income and cost of living. We hope this helps guide your job search in the choice of location as well.
* The Average Income in libya
The average income in certain companies, mainly depends on the concerned company's needs for a specific job/speciality, as it also depends on the skills, level of expertise, educational levels and the professional certificates, diplomas and endorsements of the individual. Here are the most important factors that mainly affect setting the average income in the gulf countries:
*Cost of living in the libya