I assume you don't mean "dissolve", and if not, then also "suspend" is not the right term, biut shoul be "disperse". You want to make a colloidal dispersion, right?
Dissolution studies were conducted using Varian inductively coupled plasma optical emission spectrophotometer (ICP-OES) at room temperature (~25°C) at pH 7.5. This solution contained HEPES (4-(2-hydroxyethyl)-1-piperazineethanesulfonic acid). Dissolution at pH 7.5 was studied using seven ZnO samples of sizes 4, 7, 15, 17, 24, 47 and 130 nm with a solid loading of 0.5 g/L. ZnO and pH 7.5 buffer prepared in optima water were mixed in a 20 ml vial and then covered with aluminum foil to inhibit any photo-induced dissolution. This vial was then placed on a Cole-Parmer circular rotator for 24 hours. After completion of mixing, suspension pH was measured. From each reactor three aliquots (~ 1 ml each) were drawn out with a disposable syringe, passed through a 0.2 μm syringe-driven filter (Xpertek) into centrifugation vials, and centrifuged at 22000 rpm for 30 min to separate the solution from ZnO nanoparticles. Samples were analyzed using a Varian 720-ES inductively coupled plasma optical emission spectrophotometer (ICPOES) to quantify dissolved zinc. These centrifuged samples were diluted to 5 ml with 1 M HCl prior to analysis and the calibration was conducted with 5.0, 10.0, 25.0, 50.0 and 100 ppm Zn2+ standards prepared in 1 M HCl. The average and standard deviation of triplicate measures are reported for all dissolution measurements. Similar ICP-OES analysis of ca. 4 nm TiO2 nanoparticles has shown that filtration followed by centrifugation successfully remove all non-dissolved nanoparticles from the medium.
Read more on this thesis:
Dissolution and aggregation of zinc oxide nanoparticles at circumneutral pH; a study of size effects in the presence and absence of citric acid
why would anyone try to "completely dissolve" nanoparticles, for what purpose? Please explain.
If I want to make a (true) solution ("solution" in the sense of a true chemical, physical solution, defined by thermodynamics what is characterizing a "solution"), then why I don't go in a shop, buy some ZnO and TiO2 and simply dissolve it? Why would I want to make nanoparticles first and then destroy them by dissolving?
What I still assume is that people in the field, als A. Ouerdane and R-A-Thilini Perera Rupasinghe with his thesis, still don't distinguish between "solution" and "(colloidal) dispersion".
I also somehow guess so when I read "successfully remove all non-dissolved nanoparticles from the medium."
It is extremely easy to dissolve ZnO and TiO2! no problem!
but when you try to make a colloidal dispersion of ZnO and or TiO2 nanoparticles, then you run into difficulties and you may find some particles don't want to be dispersed - but that is not a topic to be described by the term "solution".
The question I think is aimed towards forming a suspension of the particles, which has been clearly pointed out by all. However, still no exact answer :)
I too wish to know which organic/inorganic solvents can form a stable dispersion of ZnO.