In New Jersey, subleasing requires explicit permission. Tenants must obtain written consent from their landlord before they can sublease their space.You will need to provide proof of renters insurance that complies with the requirements in the lease. Income limits can vary from year to year and depend upon the number of persons in the household. Tenants in New York have the legal right to sublet under certain conditions. They must typically obtain the landlord's explicit written consent. Almost all leases either prohibit subletting or require the landlord's permission, so the answer is probably no. Subletting of apartments is not permitted. D) The applicant must comply with all requirements of HUD, NJHMFA and Low-Income. If you would like to sublease your apartment, you must first tell your landlord that you want to do this.