The toquilla straw is soft enough to allow Panama hats to be rolled up for easy storage. Even if the Panama hats are flexible enough it is recommended to roll the hats only for travel reasons as the straws may crack if rolled often or incorrectly.
Keep in mind the following rules for safely rolling your hats:

1. Roll not fold. Panama Hats can be rolled but be careful not to fold it because it may result in cracking the straw or damaging the weave.

2. Roll Up your hats just for traveling reasons. The longer the hat remains rolled, the longer the time its going to take to return to its original form.

3. It is not recommendable to roll budget or standard Cuenca hats, as the straw is thicker and easier to crack. In other words the finer the weave, the better to roll.

4. Do not roll dried out hats. Panama Hats need a little of humidity in order to be rolled, that is why if the hat is exposed to a warm and dry weather the hat can dry out and rolling it under these conditions might result in cracking.

Some Panama hats

NEW MONTE CRISTO Fedora Panama White Straw Hat 7 1 8 US $33.74 Auction Ends: 9d 3h 29m Make it yours...

NEW MONTE CRISTO Fedora Panama White Straw Hat 7 1 4 US $33.74 Auction Ends: 24d 29m Make it yours...

Also see:
Best ways to take care of your hats