Visibility of Apollo 11 module I wasn't around when man landed on the moon in 1969. When I see the moon, I always wonder, were people able to see the rocket?

Yesterday, I looked at the moon in daylight and wondered again.

My question is: how far were people able to see the rocket after it launched?
No, the orbiting rocket was not visible to the naked eye.
Orbiter plus lem were about 65 square meters in size, about 25 X 25 feet.
At lunar distance they subtended about 0.000001 square degrees, and be at most 5 to 10 times as bright as the lunar surface; albedo 0.5 to 1 vs 0.1.
A speck 1/1000th of a degree on a side, and a little brighter than the moon is not visible in daylight. Likely it's well below the noise level in a daylight adapted eye.