Can LLC work on Corp-Corp basis

Hi,
I have registered an LLC through legalzoom.I just selected the default option while filling the application on their website.My LLC was registered and I recieved a letter to that effect.
I would like to know if my LLC can takeup Corp-Corp positions.I will provide you with an example
There is this position with Company A and they accept corp-corp candidates.I have a candidate well qualified for the position.Can I submit the candidate through my LLC ? (I have heard that they might ask some insurance during the agreement..) Please let me know what are the additional actions I need to take...

Thanks,
Raja