The team said "No further information will be provided at this time."
Iginla has been in the lineup for every one of Calgary's games since the start of the 2007-08 season, a streak of 441.
TSN's Bob McKenzie reported via Twitter that an Iginla deal is not necessarily imminent, but rather Flames management is protecting him from possible injury. Calgary will play the Columbus Blue Jackets on Friday before visiting the Edmonton Oilers on Monday.
The trade deadline is 3 p.m. ET on Wednesday, April 3.