As per the guidelines of CEFRL (Common European Framework of Reference for Languages) these are the things learners are supposed to be able to do once they are at the A2 level.
Listening: They can understand phrases and the highest frequency vocabulary related to areas of most immediate personal relevance (e.g. very basic personal and family information, shopping, local area, employment). They can catch the main point in short, clear, simple messages and announcements.
Reading: They can read very short, simple texts. They can find specific, predictable information in simple everyday material such as advertisements, prospectuses, menus and timetables and they can understand short simple personal letters.
Spoken interaction: They can communicate in simple and routine tasks requiring a simple and direct exchange of information on familiar topics and activities. They can handle very short social exchanges, even though they can't usually understand enough to keep the conversation going themselves.
Spoken production: They can use a series of phrases and sentences to describe in simple terms their family and other people, living conditions, their educational background and their present or most recent job.
Writing: They can write short, simple notes and messages relating to matters in areas of immediate needs. They can write a very simple personal letter, for example thanking someone for something.
In short, learners with a A2 level :
Can understand sentences and frequently used expressions related to areas of most immediate relevance (e.g. very basic personal and family information, shopping, local geography, employment).
Can communicate in simple and routine tasks requiring a simple and direct exchange of information on familiar and routine matters.
Can describe in simple terms aspects of their background, immediate environment and matters in areas of immediate need.
The A2 level is asked for the 10 years residence card, also called a Carte de résident or Titre de séjour de 10 ans. This can be justified with a DELF or TCF (or similaire) certificate.