Hi @Yaz :)
Yes, refugees are allowed to work abroad, but there are limitations as well.
You have to stay in France for a minimum of 5 years. After that you can apply for a long-term residence title in other EU member states (like Austria). But you are allowed to move/work abroad without this residence title after 5 years as well.
This is where I got this information from: https://***.nds-fluerat.org/leitfaden/10-fluechtlinge-mit-aufenthaltserlaubnis-nach-25-abs-1-oder-abs-2-satz-1-alternative-1-aufenthg/11-2-wohnen-umziehen-und-reisen/
Here is the underlying EU law that the article above refers to: ****://eur-lex.europa.eu/legal-content/EN/TXT/HTML/?uri=CELEX:02003L0109-20110520&from=DE
All the best
Lea