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我现在是H1B。我的雇主刚刚开始为我办绿卡，我是中国籍，我先生是法国人，我可不可以以先生的法国籍来申请，等待的时间是否短一些.
-Did you marry your husband before he got his green card? If yes, then you can just file I-485 by following to join. Otherwise, no because your spouse has been a green card holder. If he was not a green card holder and applied for green card together with you, then you would use the rule of country of visa cross-chargeability to get your green card. 
See the following at:
http://immigrationanswerman.com/2012/11/18/what-is-my-country-of-chargeability-for-the-visa-bulletin/

a) A spouse’s country of birth can be used as the foreign national’s country of chargeability where the foreign national is accompanying or following to join the spouse, if necessary to prevent the separation of the spouses;

Also see:
http://immitips.com/citizenship/cross-chargeability/

出生地是欧洲的employment-based 2nd is still current according to the visa bulletin.