-hatnék

Lexicalization of -hat (potential suffix) +‎ -nék (first-person singular conditional suffix), literally: “I could” (do something), as an expression of impulse or desire.

• IPA^(key):

-hatnék

1. (noun-forming suffix) Appended to a verb to express an impulse or desire.

   sír (“cry, weep”) → sírhatnékja van (“s/he feels like crying”, “s/he has the urge to cry”)

   ír (“write”) → írhatnékuk volt (“they felt like writing”, “they had the urge to write”)

   játszik (“play”) → játszhatnékom volt (“I felt like playing”)

• (noun-forming suffix) Variants:

  -hatnék is added to back-vowel verbs.

  -hetnék is added to front-vowel verbs.

• It is usually followed by a possessive suffix (forms given below) and a third-person singular form of the existential verb van (van/volt/lesz/lenne/legyen etc.), shown in the examples above, or támad (“to arise, crop up”), e.g. kosarazhatnékja támadt (“s/he felt the need to play basketball”), where the affected person is the possessive.
• Another construction is with a verb like elfog, rájön, or rátör (here all mean “to overcome”), e.g. elfogja a sírhatnék (“s/he is overcome by the urge to cry, s/he feels the need to cry”), rájött a nevethetnék (“s/he was overcome by the need to laugh, s/he felt compelled to laugh”), where the affected person is either an object or a sublative argument required by the prefix rá- (both may be implicit if it's clear from the context).

• Appendix:Hungarian suffixes

• Hatnékom van (the relevant part starts under the ping pong photo)