Superparamagnetism (SPM) is a type of magnetism that occurs in small

ferromagnetic or ferrimagnetic nanoparticles

No, ferromagnetic materials are strongly attracted to magnets.

Ferrimagnetic materials are weakly attracted to magnets.

Evert Willem Gorter has written:

'Saturation magnetization and crystal chemistry of ferrimagnetic oxides' -- subject(s): Crystallography, Metallic oxides, Magnetochemistry

Materials that can be magnetized, which are also the ones that are strongly attracted to a magnet, are called ferromagnetic (or ferrimagnetic). These include iron, nickel, cobalt, some alloys of rare earth metals, and some naturally occurring minerals such as lodestone.

The following minerals have magnetic properties:

Magnetite and hematite are ferromagnets.

Ferrites and garnets are ferrimagnetic.

Quartz, calcite, and mica are all magnetic. Although they have a small magnetic attraction, these minerals do not remain magnetic.