A three‐dimensional copper(II) coordination polymer (CP), {Cu(L‐F)(N3)}n (1), was synthesized by reacting Cu(NO3)2 with 5‐fluoronicotinic acid (HL‐F) and NaN3 in a water medium. Complex (1) shows a 3D network, in which the 1D [Cu2(COO)N3]n chains are interconnected via L‐F ligands. By immersing (1) into different short‐chain alcohols (CH3OH, C2H5OH and HOC2H4OH), three different CPs were isolated, including {Cu3(L‐F)4(N3)2(CH3OH)2}n (2), {Cu3(L‐F)4(N3)2(C2H5OH)2}n (3) and {Cu2.5(L‐F)3(N3)2(HOC2H4OH)0.5}n (4). CPs (2) and (3) display a similar structure, in which trinuclear subunit [Cu3(COO)2(N3)2(solvent)2] is generated. Furthermore, such entities are interconnected via L‐F ligands to give rise to a 3D network. As for (4), there are trinuclear [Cu3(COO)2(N3)2] and binuclear [Cu2(COO)N3] units, which are interconnected by L‐F ligands to generate a 3D network. Notably, in (2) and (3), the coordination modes of CH3OH and C2H5OH solvents are monodentate; whereas for (4), the HOC2H4OH solvent adopts a bridging mode to link two Cu atoms. Of further interest, these processes are solvent‐mediated structural transformations, with obvious colour changes in the crystals. Structural changes and mechanisms of transformation are discussed in detail.