So, as a general rule, Bangkok is incredibly unfriendly for any pets as many buildings do not allow them and there are almost no pet-friendly parks. But, I did find this list of housing options that are pet friendly.
What kind of work will you be doing in Bangkok, and what kind of accommodation have you arranged?
You should have a look at this guide to housing in Bangkok, and Bangkok's areas, to help inform your decision to take your pet with you.
Does this help?