A printed tee does not need a complicated care routine. The first rule is to follow the garment's own care label, because fabric, ink and transfer systems differ. After that, a few habits reduce unnecessary heat and abrasion on the artwork.
Turn it inside out
Washing inside out reduces direct rubbing between the printed face and zips, buttons or other garments. It is a simple precaution and works across most print methods.
Use a low wash temperature where the care label allows
For many printed cotton tees, 30°C is a sensible everyday setting. There is no need to claim every print must be washed ice-cold; the correct limit is the one on the garment label. Lower heat generally reduces stress on both fabric and print.
Use normal detergent and avoid unnecessary harsh treatment
A standard detergent is enough for normal wear. Avoid bleach or aggressive stain treatment on the printed area unless the garment-care instructions specifically allow it.
Air dry when practical
Repeated high heat can age both garments and prints, so air drying is a good default. If you use a tumble dryer, follow the care label and choose the lowest suitable setting rather than assuming every printed garment must never see a dryer.
Do not iron directly on the print
Direct contact with a hot iron can mark, soften or distort some print types. Turn the garment inside out or avoid the printed area.
Wash when it actually needs washing
Unnecessary wash cycles add abrasion to any garment. Airing a clean tee between short wears can reduce washing, but hygiene and the care label come first.
The short version
Check the label, turn it inside out, use a low sensible temperature, avoid direct heat on the print and air dry when you can.
For the production side, read What Makes a Graphic Print Actually Last?.