The permanent resident card should be sufficient, although it is important to remember to file a timely petition to remove any conditions.
Quote Quoting Will I Get a Work Permit?
As a legal permanent resident, you should have received a permanent resident card. This card will continue to prove that you have a right to live and work in the United States permanently. If you file your USCIS Form I-751 (Petition to Remove the Conditions on Residence) on time, the USCIS will extend your conditional resident status for up to 12 months while your Form I-751 petition is under review.