The Norse, like a slew of other cultures across the globe, did in fact use swastikas in their art. It appears on quite a few objects, but I'd like to stress that the following list is non-exhaustive:

• A swastika is carved on the Danish Snoldelev Stone, dated to the 8th-9th century.

• A swastika is carved on the Danish rune stone Østermarie 6 (1025-1075) inside a processional cross.

• A swastika also appears on one of the combs (3rd-4th century) from Nydam Mose, also in Denmark.

• The famous "Buddha-bucket" from the 9th century Oseberg-ship burial in Norway features no less than four swastikas. These "expanded" swastikas also feature on a number of Danish bracteates, like DR BR 53 Maglemose 2

• One third of all A-type bracteates and half of all C-type bracteates show a swastika. For example this migration period C-type bracteate from Gotland, Sweden.

Sources:
Imer, Lisbet M. - Danmarks Runesten.
Hupfauf, Peter - Tracing their Tracks: Identification of Nordic Styles from the Early Middle Ages to the End of the Viking Period