Consent to Assignment is a clause used in contractual agreements that requires one party to obtain the permission of the other party before transferring their rights and obligations under the contract to a third party.
Assignment of receivables would mean sale of the lease rentals, not the asset. In that case, the leased asset still remains the property of the assignor – that is, the assignor has retained the residual interest in the asset. However, it would be different if the lessor sells the asset that has been leased out.
If the assignment of the contract is done with the consent of the counterparty, that amounts to a novation – that is, partial re-writing of the terms of the original contract. benefit under a contract, then such receivables/benefit are not assignable, or not assignable without the consent of the counterparty.
Assignment in the context of a receivable means the transfer of rights related to it to another person or entity. For this purpose, an appropriate contract is usually concluded (although this is not a necessary condition).