If switch included with fan is a single pole single theow your switch will be fine. If included switch dims,selects speed or other function(s) your switch isn't suitable unless it can do the same.

I’m a little unclear on what you had before.

Did you have two conventional wall switches, one for fan and one for light?

What wires ran from switch to the fan - hot, neutral, ground? - and from other switch to the light - hot, neutral, ground? Or did fan and light share one or more wires?

Anyway, you might be able to wire the light kit to bypass the ceiling fan’s built-in circuit, and instead be wired directly to your wall switch. Then the ceiling fan could operate as if it had no light kit installed. Of course, the ceiling fan would have to be able to operate from your other (?) wall switch. Maybe there is a model of fan that can simply turn on and off with the switch, using the remote only to change speed or whatever.

Hunter offers several fans with lights that use a wall control, no remote. A control does ship with the fan but I suppose you could substitute your own if it was compatible. Note that the provided control adjusts the fan speed and brightness of the light. If your control is on/off, you shouldn't use it.

(I have a fan that uses a battery-operated remote but the remote can be installed in a wall electrical box. The control isn't wired to the house wires, it's just attached to the box but looks like a wired control.)

(Be sure to choose a fan whose light doesn't shine upwards through the fan blades.)