Yes, officials said that they received such calls.
The Maryland Emergency Management Agency tweeted from their verified account on April 24:
We have received several calls regarding questions about disinfectant use and #COVID19.
This is a reminder that under no circumstances should any disinfectant product be administered into the body through injection, ingestion or any other route.
There was a followup tweet from Mike Ricci, Director of Communications for the Maryland governor's office:
We decided to take the step of posting this alert after receiving more than 100 calls to our hotline.
Note that they didn't give any more specifics as to what the callers actually said, or whether any of them seemed to be seriously considering disinfectant misuse.
I haven't found any evidence confirming or refuting the claim that Los Angeles officials received such inquiries.
The closest thing I found was an April 24 press conference with Dr. Barbara Ferrer, the Los Angeles County Health Director. At around 29:40 to 30:30, reporter Anabel Munoz of ABC 7 asked, in reference to the President's comments about disinfectant use:
Has the county received any inquiries and questions about this, and what is your message to residents?
Ferrer responded with a general warning not to inject or ingest disinfectants, and some other cautions about the proper use of disinfectants for cleaning. But she didn't answer the first part of the question as to whether the county had received any inquiries.