It is correct to say, 'I intend to work in an environment that enhances my skills and motivates me to utilize my potential to the fullest extent.'
Or, if you really meant to use the word 'you' instead of 'I', you'd say, '(Do) you intend to work in an environment that enhances your skills and motivates you to utilize your potential to the fullest extent.'
I might say, '...utilize my potential to its fullest extent,' but that's just my personal preference.