Neighbour Maureen Cooper reported seeing police activity at Moazzam Begg's house in Hall Green from about seven o'clock.
She said a number of unmarked vehicles had arrived, one of which appeared to contain photographic equipment.
A small silver car and a green people carrier were taken away on low loaders, she said.
She also said Mr. Begg's wife had told her in a conversation last autumn that he had been abroad for "several months."
More top news
It will be a mild weekend with sunny spells.
The rain will clear leaving it a brighter and largely dry Saturday.
Seven-week-old puppies began their journey to becoming life-changing guide dogs today.