There's no minimum number required to perform an ANOVA, but when you have very small datasets it is less likely to determine a difference in the means.
You might actually be better off making a qualitative assessment by plotting these and describing the differences. I'm specifically looking at the group of 4, which is a really small dataset to make conclusions with. Also, a Likert scale can suffer from the effects of binning, depending on the number of available responses.
Basically, give it a try and see what you come up with, and if you don't see differences but suspect there truly are population differences, dig deeper.
If you suspect this should lead to a trend, try plotting like I suggested above and also include a regression line.