Yes it does
Attached details of a study
AMH decreased 7 days after GnRHa administration by a median of 24% (P < .001) and then increased above pretreatment levels 14 and 30 days after GnRHa by 13% and 32%, respectively (P < .001). Changes in AMH levels did not correlate with changes in gonadotropins, estradiol, or progesterone.
Significant changes in AMH levels occur in the first 4 weeks after depot leuprolide administration, suggesting that AMH may not be a reliable marker of ovarian reserve during this interval. Changes in AMH occurred independent of gonadotropin levels, supporting a direct effect of GnRHa on granulosa cell expression of AMH or an indirect effect of GnRHa on the development and/or dynamics of the follicle pool.