Cada torcedor quer ver o primeiro tempo.

Because cada normally takes a singular noun in Portuguese.

• cada torcedor = each fan
• cada pessoa = each person
• cada aluno = each student

Even though cada refers to more than one individual overall, it treats them one by one, so the noun stays singular.

So:

• Cada torcedor quer... = correct
• Cada torcedores... = incorrect

Because cada torcedor is grammatically singular.

Even though English speakers may feel that each fan refers to many people, Portuguese agrees with the grammatical subject, and cada + singular noun takes a singular verb.

So:

• Cada torcedor quer ver... = correct
• Cada torcedor querem ver... = incorrect

This is very similar to English Each fan wants..., not Each fan want....

Torcedor usually means fan or supporter, especially in sports.

In Brazilian Portuguese, it is a very common word for someone who supports a team:

• torcedor do Flamengo = a Flamengo fan
• torcedora do Palmeiras = a female Palmeiras fan

It comes from the verb torcer, which can mean to root for in a sports context.

Yes, torcedor is the masculine singular form.

Related forms:

• torcedor = male fan / masculine singular
• torcedora = female fan
• torcedores = masculine plural or mixed group
• torcedoras = feminine plural

In a sentence like Cada torcedor quer ver o primeiro tempo, the masculine form may be used generically, especially if the gender is unknown or mixed.

Because cada already functions as a determiner, so you normally do not add an article before the noun.

So you say:

• cada torcedor
• cada aluno
• cada casa

Not:

• o cada torcedor = incorrect
• um cada torcedor = incorrect

In other words, cada already does the job that an article might otherwise help do.

Because after querer when you mean to want to do something, Portuguese usually uses:

• querer + infinitive

So:

• quer ver = wants to see
• quer sair = wants to leave
• quer comer = wants to eat

Here:

• quer = wants
• ver = to see

Together, quer ver means wants to see.

In this sentence, ver can naturally mean to see or to watch, depending on context.

In sports, Portuguese often uses ver where English would commonly use watch:

• Quero ver o jogo. = I want to watch the game.
• Eles viram a partida. = They watched the match.

So in this sentence, ver o primeiro tempo is very naturally understood as watch the first half.

In a sports context, primeiro tempo means the first half.

Literally:

• primeiro = first
• tempo = time / period / half

But in games, especially soccer, primeiro tempo is the standard expression for first half, and segundo tempo means second half.

So this is not about abstract time in general. It is a sports expression.

Because Portuguese often uses the definite article with specific nouns where English may or may not use the.

Here, o primeiro tempo means the first half, referring to a specific part of a match.

Compare:

• ver o primeiro tempo = to see/watch the first half
• ver um primeiro tempo movimentado = to see a lively first half

In your sentence, it is a specific first half, so o is the natural choice.

No. Tempo has several meanings depending on context.

Common meanings include:

• time
• weather
• period
• half or playing period in sports

Examples:

• Não tenho tempo. = I don’t have time.
• O tempo está bom. = The weather is good.
• primeiro tempo = first half

So in this sentence, tempo does not mean weather, and it does not mean time in the broad sense. It means a sports period/half.

Yes, it is grammatically correct and understandable.

It sounds like a general statement, something like:

• every fan wants to watch the first half

Depending on context, Brazilians might also say things like:

• Todo torcedor quer ver o primeiro tempo.
• Todos os torcedores querem ver o primeiro tempo.

These alternatives are also natural, but they are structured differently:

• cada torcedor = each fan
• todo torcedor = every fan / any fan
• todos os torcedores = all the fans

They are similar in overall meaning, but the grammar and perspective are different.

• Cada torcedor quer ver o primeiro tempo.

  • focuses on fans individually
  • takes a singular verb

• Todos os torcedores querem ver o primeiro tempo.

  • refers to the fans as a group
  • takes a plural verb

So:

• cada torcedor quer
• todos os torcedores querem

Both can often translate naturally into English, but Portuguese makes the singular/plural difference very clearly.

Yes. That is also natural, but it has a slightly different feel.

• Cada torcedor = each fan, one by one
• Todo torcedor = every fan / any fan

In many contexts, both work and mean almost the same thing. But cada is a bit more explicitly distributive, while todo can sound more general.

Compare:

• Cada torcedor quer ver o primeiro tempo. = Each fan wants to watch the first half.
• Todo torcedor quer ver o primeiro tempo. = Every fan wants to watch the first half.

If you change the subject to a plural form, the verb must also become plural.

For example:

• Os torcedores querem ver o primeiro tempo. = The fans want to see the first half.
• Todos os torcedores querem ver o primeiro tempo. = All the fans want to see the first half.

But with cada, you keep the noun and verb singular:

• Cada torcedor quer ver o primeiro tempo.

So the original sentence is singular all the way through because of cada.