It should, as long as there is drainage hole in that container. I had one for 9 years...then sold it at garage sale (got lots of $$$ since it was not for sale but ppl were really persistent :)

Was the plant in shade before? If so, and you put it directly into full sun, it could have sunburned (can't tell from your photo). Any plant should get acclimatized to full sun. Otherwise, it should be OK in sunny location.

Was it repotted very recently? - maybe it is recovering from transplant? It does need watering - when needed, but should not sit in water logged soil. Well draining potting mix is essential for all plants.

yes and no....it was in the shade for awhile and I put it out on the porch so it would get some sun....but it has been kinda dry lately with very little rain (weird Oregon weather)....so I put it into the planter immediately after I saw the leaves bit burned. Im going to monitor ir and make sure it gets water so it doesnt bake..but now its under morning sun and afternoon shade.

Apply mulch so the soil does not dry out. In freezing weather protect it.

If the leaves burned, they likely fall of but that doesn't mean plant is dead. Don't stress it by not watering when needed (if it doesn't rain for a while) but it is important not to overwater too. If your potting mix drains well, overwatering is much less of a problem.

It will be fine as long as your planter has plenty drainage. Or it will freeze over in the winter.

Realizing this is a 5 year old thread and so the info is probably not much use to the OP now but could be helpful to other readers, let me offer this: you can grow anything in a container provided you keep certain container gardening principles in mind.

• You must provide good drainage, both with the container and with the potting media.
• Potting media/soil does not last forever and will need to be replaced or refreshed periodically every few years.
• When you do repot, you will need to root prune at the same time. This will keep the plant healthy, compact and dense and not get leggy or outgrow its container.
• It will need fertilizing on a routine basis, at least monthly during the primary growing season.
• You will need to pay close attention to any watering needs, especially during our dry PNW summers.

Finally, containerized boxwoods can live outdoors all year long in Oregon without concerns of freezing. Box are very tough and hardy plants and can handle it, as can many other potted trees and shrubs. May be different in other, colder parts of the country :-)