show me in which case you want to use this phrase.
when u want to say something bad about yourself to someone, u can say firstly: (我)不怕你笑话(我),+ something bad about urself
e.g.
不怕你笑话我,我确实不会做这道题。(i am not afraid to be laughed at by you, i dont know actually how to solve this question.)
i am not afraid to laugh at myself: 我不怕嘲笑我自己。
嘲笑我自己 we say 自嘲
我不怕自嘲 or 我勇于自嘲 mans you have a character which is "laugh at myself" or you have courage to laugh at myself. is this what u want to say?