The answer is yes. If any of the following are true then you should add an air pump to make absolutely sure that your fish has enough oxygen: 1) Your water appears very still and your filter isn't causing much surface movement (you may also want to check that your filter is big enough for your tank!)
Can goldfish live in a bowl without an air pump?
As it has been stated, goldfish do not always require an air pump to survive. It can do well in a tank that is well oxygenated for as long as it normally can. As long as there is enough surface movement that translates to oxygen, then the goldfish can live just fine without an air pump.
Do goldfish like flowing water?
Goldfish live in cool lakes, streams and rivers with very mild currents. ... Goldfish aquariums do require filtration, and the fish should not be housed in completely still water, as this water is more likely to become dirty and bacteria-laden. However, rapidly moving water can endanger your fish's health.