Well that person would be classified as a person with a disability pension of category such and such, and would actually have a good chance of finding a job because of quotas imposed on companies to recruit people with disabilities. Provided that this person lives in an area where opportunities exist (quotas not already filled up, not a too rural area, proper qualificiations etc).

But France may have an encouraging policy towards disability and employment, we're still far behind the UK when it comes to actually making life easier for people with disabilities. The new municipal library in Toulouse, the médiathèque, however, has done a great job for wheelchair access, braille books etc etc. But phone booths, public toilets, and even administration offices etc with proper access are still lagging.
 

We need to be clear on "disability". There are countless disabled people who can work and wish to work. In France, there are some incentives for employers to hire such people. They are simply classified as people at work, but the employer gets rebates on social contributions for them.

On the other hand, there's "incapacity", which means the person is medically considered unfit to work (until such time as the medical appraisal changes). Now that can be a "sink" for long-term unemployed persons the government would like to shunt off the unemployment stats. France doesn't do this; the UK has done a huge amount of it. (see these comments from the other day.)

ET has been in the forefront (long before McKinsey or the latest OECD report) in pointing out the importance of incapacity numbers in masking unemployment for propaganda purposes. Here is a diary I wrote about it last October.