Hi
First thing I would like to know if your husband applied for extension before or after his work permit get expired.
If he applied after his work permit expired, CIC will refuse his extension as he was not eligible to apply for extension if his visa already get expired. However he can apply for restoration within 90 days of work permit expiry date.
If your status has expired or if you did not respect one of the conditions of your permit or you have worked or studied without a required permit, you have committed an offence under the Immigration and Refugee Protection Act. You may be subject to an admissibility hearing that could lead to removal from Canada. If your temporary resident status has expired, do not apply for an extension as you are not eligible. However, if you wish to stay in Canada after your status has expired you may apply for restoration of status within 90 days of your offence (loss of status) or you must leave Canada.
So I believe if this is the scenario definitely it will affect the visitor application of your parents and parents in law. You must need to provide enough documents to declare that you are financially stable enough to support your family member in Canada during their stay. For that you must need to show your job offer letter also pay stubs if you have.
Thanks
D