There is no argument or fight. The law does plainly state that pest control is landlords responsibility. law mentions rodents specifically. If landlord fails to control rodents, call 1st local code enforcement, housing authority, animal control, and/or health department. you should get action within day or two. 2nd local city or county Consumer Affairs Division, 3rd State Consumer Affairs Division. All these authorities would be interested to know of landlord harboring vermin. In extreme situation of landlord not complying with law, you may with hold rent, but follow all laws regarding that, proper notice, possible escrow account, etc. Some localities provide for rent payment to housing authority, who will pay for treatment, repairs etc, send remainder to landlord. If landlord fails to act you may, with proper notification be able to permanently with hold costs of your dealing with problem.
It is not your responsibility to do what landlord should, as practical matter it may be wise to do it yourself.
By law, landlord can not retaliate against you in any way, such as eviction or harassment.