Welcome to the Wefugees community and thank you for your question.
Your asylum procedure respectively the Dublin III regulation are not directly related to the visa application procedure. As long as you didn't get deported from Germany - which would result in an entry-ban that is valid for the whole Schengen area - you should be able to get a visa for France in general. But of course you will have to fulfil their requirements in order to get such a visa.
The first step is going to be that French authorities check whether there is a French/European applicant that has a right to get the job you are having an offer for. Only if you get a positive response after this check, you can apply for a visa to get a temporary residence permit.
Unfortunately, I don't speak French so I couldn't find out that much about the procedure. I recommend to get in touch with the French embassy or a consulate general to learn more about it.