For the purpose of Histology, you could perfuse the mice with 10%Formalin while sacrifice. Followed by either 10% Formalin or 30% sucrose solution to the desired lobe or piece of liver. Later on you could either prefer to go for OCT embedded cryo sectioning or paraffin embedded sectioning.
would not / Don't want to oppose to all the hints given in the statements of the previous replies/posterings.
But - as usual....it will depend (as it will always "depend")...on the purpose of your study. "Histology" or "histological study" might be a wide field... [I mean: only structure(s)?, different cell types?, compartments and their specific proteins?, substrata produced...like Glycogen?, fibrosis?, etc.etc.].
Paraffin embedding or cryo-fixation/-sectioning?, etc.etc. Minimum autolysis you can expect with perfusion fixation depending on your skills to handle the mice prior to perfusion fixation.
Is - besides e.g. H&E-staining - IHC also planned or thinkable?
As a standard I recommend isotonic, (phosphate-) buffered 4-5% formaldehyde (at least NBF)-solution for either immersion, or specifically modified fixative for perfusion...
For your convenience I would like to add with my post two articles out of my e-library which might be helpful to come to a decision.
If you are not familiar with Davidson's Fixative (which was suggested already by Robero Martín Cruz Castán (Re No 01) I would like to add again 1 article/document (excerpt from ) out of my e-library which might be helpful additionally.