焼き鳥って英語でなんて言うの？

There are different types of kebab, some of which are eaten in pitta bread, so to be more precise, you may add the word 'skewered'. A skewer is the metal or wooden stick used to keep the meat together while cooking - and sometimes for eating also.

A skewer (noun) is a long piece of wood or metal used for holding food
Skewered (verb) refers to the chicken that has been pierced by the skewer

Grilled (past participle)
This is a method of cooking
The chicken is placed and cooked on a grill
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Example
A: What are we having for for Lunch?
B: We're having yakitori
A: What's that?
B: It's a Japanese dish of grilled skewered chicken

Yakitori is popular in Japanese restaurants in the UK and is frequently served in them, especially in big brand restaurants like 'Yo! Sushi'. They are best described as chicken skewers as a skewer is a stick which food, especially meat, is pushed onto and then cooked and served on.

these can be described as "chicken kababs" or "chicken skewers"

barbecue / BBQ - this is any meat cooked on a grill.. so things that are barbecued are called barbecue or grilled
e.g. "grilled chicken" or "barbecue chicken"

skewers - this is rows of grilled food served on a stick
e.g. chicken skewers, vegetable skewers, lamb skewers

"Bastered barbeque skewer"
"Japanese chicken skewer"
"Meat kebab"
"Bastered barbeque skewer, Japanese chicken skewer and Meat kebab" these terms can be used to describe a "Yakitori" which is a Japanese type of skewered chicken. Its preparation involves skewering the meat with Kushi (a type of skewer made of steel or bamboo). Afterward, they are grilled over a charcoal fire. Charcoal is the preferred method of cooking as it provides high heat and strong flames while giving off little to no water vapor. This allows for the ingredients to cook quickly while imparting a crunchy texture to the skin. During cooking the meat is typically seasoned with tare sauce which is soy basting sauce or salt.

Example sentences-
1. I often eat Yakitori at the food stand by my work.
2. Japanese style meat skewers are traditionally called yakitori.

---> A kebab is pieces of meat or vegetables grilled on a long thin stick.

I enjoy chicken kebabs.
I had a fruit kebab for lunch.
My dad makes the best chicken skewers.

"Grilled meat" the term used to define meat that is Char grilled (charcoal), cooked on a 'grill'.
"Chicken Skewers" 'Skewers' is used to describe a long thin piece of wood or metal that pierces and holds meat onto the stick which is then cooked and eaten.