This is the 18076th most frequent Polish word.
życzą
"Życzą" means "they wish."
The word 'życzą' here conveys the action of 'wishing' and is used in the third person plural form ('oni/one życzą'). It functions as the main verb in the sentence, showing the intention or desire of the subject (Everyone) directed towards 'you'.
Wszyscy życzą Ci szczęścia.
Everyone wishes you happiness.
In this sentence, 'życzą' is used similarly, representing the third person plural action ('teachers') of wishing, specifically aimed towards 'students' with regard to their exams.
Nauczyciele życzą uczniom powodzenia na egzaminach.
The teachers wish the students success on the exams.
Here, 'życzą' is paired with the reflexive pronoun 'sobie', emphasizing that the wishing action is directed towards the subject itself ('the parents'). This highlights a self-directed yet plural intention.