Generally speaking, if you dilute your sample using exactly same media, the size and Zeta pot. characteristics of your particles should not be affected. Have a look at these literature:
Effect of sample Concentration on the Characterization of Liposomes ...
The Malvern Zetasizer Nano ZS, the high performance, versatile system for ... and samples at very low or high concentration using dynamic light scattering with ...
The correct sample concentration can be determined experimentally by a series of dilutions. If sample concentration is too low, there may not be enough light scattered to make a measurement and if sample concentration is too high the result may not be independent of sample concentration (multiple scattering can reduce the measured size, particles interactions leading to aggregation can lead to increase in size and PDI...). Zeta potential depends on the disperse phase composition as well as on the nature of the particle surface. For that reason dilution may be critical, instrument auto attenuator ensures that sample count rates are suitable for detector requirements, if sample concentration is too low (high attenuator index position) ZP value will be variable.