If the air flow check shows that it is not possible to force air through the ink inlet out the nozzles, then a long soak of the print head in ORIGINAL FORMULA windex is my first choice, as previously discussed. Repeat cleaning until there is evidence of air flow.
In an EXTREME case, removing the nozzle plate from the print head (two small screws) and forcing cleaning fluids through the internal passageways may be called for, but that disassembly operation carries much risk!! Some users that have disassembled Canon print heads in this manner have reported that these screws may be left-hand AND right-hand threaded! I do not recommend this unless you have a spare print head on hand. Beware there is a special gasket that is between the nozzle plate and the plastic print head body that MUST be correctly repositioned at assembly.
I have been both successful and unsuccessful with disassembly/reassembly. You perform this at your own risk.