Its very easy dear, you just need to pour methanol on that overlay medium (1-2 ml) and leave it for few minutes. Methanol start polymerizing agarose, then from needle/syringe you can easily take out agarose overlay medium..
Methylcellulose overlay must be viscous, you can easily take out through pipettes or by suction. I have used agarose overlay medium and used methanol for its removal. Methanol should be at room temperature
We actually switched from methyl cellulose to Avicell since the cell monolayer stays completely intact using 1% Avicell in DMEM for plaque assays for dengue virus, yellow fever virus and VEEV. The overlay is way less solid but still prevents virus spread uncontrolled through the culture
We also have found Avicel works most easily in many of our assays. However, methylcellulose seems better for mouse L929 cells. We have not yet figured it out but no monolayer remains after Avicel usage on the L929. In both cases, the overlay is poured off, the monolayer rinsed once with PBS, then fixed in 2% formaldehyde (in PBS)
You do not need to remove the methycellolose since it is too viscous to aspirate out and it is easy to wash out after staining. You can simply wash it off with water.