As long as your agreement with the parent company references the fact that they will request work be done for the benefit of any one or more of their wholly owned, independently incorporated subsidiaries, then you should be fine.
The parent company would then be responsible for payment to you if you do work on property owned by the parent or owned by a subsidiary.
The parent can then work out with the sub how payment will be made -- that doesn't matter to you as long as you have an agreement that makes someone ultimately responsible.
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