That information blackout included the man's condition; however, Mexico's attorney general said the victim was in "stable" condition and under protection.
The video shows a man dressed in a blue shirt and wearing sunglasses, but no other information has been released about the shooter.
In a statement on its Facebook page, the consulate had said the Federal Bureau of Investigation was offering $20,000 for information that could help identify the suspect. "The safety and security of our employees overseas is among our highest priorities", an embassy spokesperson said.
Authorities investigate the scene where an officer from the US consulate was shot and wounded outside a mall in Guadalajara, Mexico.
A State Department official said they are working with Mexican law enforcement on the case.
As Ashcraft's vehicle emerged from the garage, the gunman fired a shot into the windshield. Media reports said the shooting was outside a shopping mall.
Ashcraft is recovering well at a hospital in Guadalajara and plans to return to the United States for a time, the friend said.
Fed policymakers agree Donald Trump's fiscal boost poses inflation risk
Goldman Sachs forecasts a fiscal expansion of about 0.5 per cent of GDP in late 2017 and early 2018. The nation's central bankers also saw some possible negatives clouding the economic outlook.
The western city of Guadalajara has been hit by violence perpetrated by the powerful Jalisco New Generation drug cartel in recent years.
USA officials confirmed on Twitter that the Federal Bureau of Investigation has stepped in, offering a $20,000 reward for information leading to identification of the gunman.
The department already prohibits government officials from traveling between cities or using certain highways.
In recent years, a handful of US consular employees and other USA agents have been attacked and killed in Mexico, according to the Associated Press.
Mexican and U.S. officials appealed to the public on Saturday for help in finding the gunman who wounded the official earlier that day.
Partlow reported from Mexico City.