These schools are operated privately, not by a branch of the government. Tuition will usually be higher than at state schools. Often, private colleges and universities are smaller in size than state schools. You should find out if the Associate's Degree will qualify you for a job in your country. In some countries, students need a Bachelor's Degree to get a good job.
Community colleges serve a local community, usually a city or county.
Many of the students are commuters who live at home, or evening students who work during the day. Often, community colleges welcome international students. Many of these schools offer special services to international students such as free tutoring. Many community colleges also offer ESL or intensive English programs. Some community colleges provide housing and advising services that an international student might need.