Mr. Kambwili says he is disappointed with his Labour counterpart Fackson Shamenda for dismissing the 14-days ultimatum without consulting him.
He says Mr. Shamenda should respect his decision as a Cabinet Minister.
Mr. Kambwili has told QFM News in an interview that the Patriotic Front government has a mandate to ensure that workers are well treated without making their lives difficult.
Mr. Kambwili says it is unfortunate that Mr. Shamenda rushed to the media in dismissing his ultimatum instead of asking him why he gave the management such an ultimatum.
And Mr. Kambwili says he will not relent in speaking on behalf of the workers.
He says the Patriotic Front will not allow the ill-treatment of workers by employers.
He says workers deserve to get what is due to them.
Last week, Labour Minister Fackson Shamenda directed the Times of Zambia management to ignore the directive by Mr. Kambwili to pay workers their salary arrears stating that he did not understand the operations of the management.