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Assuming you mean the iframe size for browser games, last time I checked the itch.io site was 960px wide on desktops, and games in portrait format leave a lot of blank space on either side. But on mobile, that changes. So, it depends on your target audience.

ideal dimensions for games (portrait, landscape)?

You still didn't say what kind of game: browser, mobile, desktop? For desktop games, you have to mind cheaper laptops, that usually have 1366x768 screens. And for mobile games you have to detect the screen resolution and scale your game to fit. There is no "best".

I would like to put my game here but I do not know the ideal dimensions 

portrait