Good luck with that! I suspect you'll have to just 'translate the words' and cross your fingers and/or enter a lengthy footnote, starting with the establishment of the French union movement ...

Le paritarisme, ou système de gestion paritaire, est un principe consistant en la cogestion d'un organisme par un nombre égal de représentants des employés et des employeurs. On parle alors d'un organisme paritaire
[Wiki - which gives the English as 'co-determination', which would undoubtedly have to be explained to Aussi immigration officials too]

“Paritarian” is derived from the French “paritaire” and means jointly managed on an equal basis. The roots of the paritarianism go back to the 19th century but
https://www.lobbyfacts.eu/datacard/european-association-of-p...

The financing of the CSEDT is ensured through subscriptions of its members and its participation in paritarianism.
https://www.csedt.org/en/becoming-a-member/

It looks as if if you know about such things, 'paritarianism' might be understood:
In the field of social protection, paritarian institutions are non-profit institutions which are jointly managed by the social partners (representatives of the employers and employees). In other words, the governance of these institutions is based on the equal representation of employees (normally the trade unions) and employers in their governing bodies.
The social protection funds managed by the paritarian institutions are set up through collective agreements at the company, the industry-wide (such as construction sector, metal sector, etc.) or the inter-sectoral level, and they can provide several social benefits such as pension (in particular occupational pension funds), health care, unemployment, disability, paid holidays, and other such benefits.
https://en.wikipedia.org/wiki/Paritarian_institution

European Association of Paritarian Institutions - https://aeip.net/