Trying to push bitcoin only shows that the author has a poor understanding and an agenda. While you could, potentially, argue bitcoin in cases where a country's currency has collapsed, or is unable to be used to buy things from other countries. Bitcoin is highly volatile, a very poor store of wealth, but it is something you can spend and transfer, in some places at least, and at present it has value.
Well, that isn't an issue with the Euro. It is an extremely important and widely used currency, second only to the US Dollar. All Eurozone countries use it (by definition) which is quite a few major economies. As such it is also widely sought after in international currency exchanges. Euros are very easy to spend on the international scale. Many places will take them directly, and any bank will convert them.
Also the Euro is pretty stable. When you look at it compared to other major currencies like the Dollar, Pound, and the Yen it compares very well. All fluctuate, of course, but not very quickly. So it is a good store of value, you don't have to worry about losing your money. Works long term too, as many nations with good credit will sell debt instruments in Euros.
So there is nothing bitcoin solves here, because bitcoin is a currency and currency isn't the problem in Greece. This isn't Zimbawbe where the currency was worth nothing.
The only way it could "help" is to move money out in the event of capital controls on Greek banks. But of course:
1) You have to get the money out of the bank first, which a capital control can slow down.
2) The only way it facilitates that would be being less traceable. As I said, Euros are taken everywhere, you can convert them to Dollars or anything else.
3) Most importantly that wouldn't help the situation at all, it'd make it work. Might help an individual save money, but it would only worsen the situation.