have a cold, be down with a cold
Я не знал, что Том простужен.
I didn't know Tom had a cold.
Том простужен?
Does Tom have a cold?
Я не простужен.
I don't have a cold.
Я простужен.
I have a cold.
Том сказал, что он простужен.
Tom said that he had a cold.
Он сказал, что простужен.
He said he had a cold.