When we turn on the single handled kitchen faucet no water comes out initially. It doesn't seem to matter what position the handle is in. Repeating the process will turn the water on immediately sometimes, but not always.

Time to clean or replace the cartridge.
How old is your faucet, what brand and model numer? Thanks.

John

Pfister. The spray handle only dribbbles also.

It looks like you have debris inside your faucet, close the angle valves under the sink, remove the handle and remove the cartridge, turn on the water cold and hot for a few seconds to flush the faucet, close the valves and assemble your faucet, check if it is OK, if not then you need to replace the cartridge and the diverter, good luck.

John