According to Roy Nagatoshi, the best time to do approach grafting for juniper is winter (January, February). This is when he starts his shimpaku grafts on California Junipers.
But having said that, I think the approach graft is a very safe one, and I would start it any time of the year. The old-timers are more particular about the timing.
One type of graft that I will NOT try again, is thread grafting of shimpaku on California. I tried it once, and after 2 years the graft still didn't take. At the end, one windy day, the pot was knocked off the bench, and both the yamadori, as well as the shimpaku died. Not a big loss, since this was one of the lower quality materials, but the whole thing left a bitter taste in my mouth.