The premiere date for Sharp Objects has not been announced. All we know is that it is likely to be in 2017. Since April 1st, 2016, there has been very little news as it relates to this eight episode TV drama. We would assume that it will air on Sunday nights similar to The Night Of which was an eight part crime drama that premiered on July 10, 2016.
It is important to note that Game of Thrones is going to air in the summer of 2017. This means Sharp Objects will likely come after that but before Westworld; once again, very similar to The Night Of. Westworld season 2 is not going to air until sometime in 2018 which gives HBO the fall and winter of 2017 to air another show. In our opinion, this is a perfect slot for an eight part series.
This would put the pilot date sometime in September or October. If Game of Thrones concludes around Labor Day we can expect the pilot of Sharp Objects in mid to late September or early October. Remember that all of this depends on the completion of filming.