Saudi Arabia has gone even further, with the country's main religious body reissuing a fatwa first announced in 2001 banning any game involving Pokemon.
Pitting the characters against each other is associated with gambling, which is banned under Islam, and the game is also perceived as promoting Darwin's theory of evolution.
The Israeli navy, however, makes no secret of its passion for Pokemon Go, publishing a screenshot of its forces capturing a sea-based monster with the caption: "There are some Pokemon only we can catch".
A much-shared Palestinian tweet shows a Pikachu emerging from the ruins of house in Gaza.
While the game is only officially available in some 40 countries, many players have found ways to access the app before its release in their territory.
In France, where the game is still supposedly unavailable, police have already tweeted advice to Pokemon "trainers", including: "Do not play Pokemon Go while driving" and "Pedestrians -- take extra care".
Behind the phenomenon is the Pokemon Company but also its shareholder Nintendo, the Japanese group whose devices have been needed to play any earlier versions of digital Pokemon games.
And while Nintendo's profits from the recent explosion of Pokemon Go remain unknown, investors have already made their feelings felt.
Since the release of the game, shares in the group have more than doubled on the Tokyo stock exchange, even if their value remains well below a 2007-2008 peak, which came with the release of the Wii console.
But real-life security risks are not the only threat, as the game has already attracted the attention of hackers, according to the Russian internet security group Kaspersky.
"Nintendo servers have already experienced a number of problems concerning traffic, and their attackers are very aware that the group cannot afford to have broken or inactive servers," says David Emm, a researcher at Kaspersky.