Is it permissible for an employee who is ill and approaching retirement to receive a house through a loan from the company with the intention of having the loan waived? And would this house become unlawful for him?

First: There is no objection to taking a housing loan if it is permissible, such as the company lending the employee the price of the house as an interest-free loan (qard hasan (definition)), or buying the house and selling it to him in installments. However, if the company charges interest on the loan, or if the loan is through a bank with interest, then this is prohibited usury (riba), and the permissibility of the loan must be verified first.

Second: If the transaction is permissible, there is no objection to proceeding with it, even if you intend to retire after receiving the house. The company's waiving of the loan for the retiree is an act of kindness from them. However, if your retirement will occur obligatorily due to illness, you must inform the company of your illness and the possibility of your retirement because of it, as "the wealth of a Muslim person is not lawful unless given with his willing consent," and "deception and trickery are in the Hellfire."