One way I clear debris in my plumbing from the skimmer is as follows:
Note: I always have my skimmer basket in place but sometimes, when I pull the basket to clean it and the pump is on, a big leaf my go down the pipe. So I then do my surging process as below.
Ensure your pump is primed
Close off main drain and have all suction from your skimmer
Remove skimmer basket (at the pool)
Best to have 2 people if possible, Turn on pump after verifying your suction flow, then have second person place a tennis ball on the suction hole down in the skimmer. The pump should whine a little trying to suck water, then have person pull tennis ball. Then place tennis back in suction, then remove. Do this surging a couple of times then shut off pump and check pump basket if any big debris was caught.
Need to ensure tennis ball is larger than suction ID in skimmer and have person hold the tennis ball. You don't want that getting stuck.
Good luck