Mój ojciec mówi, że dobry kibic potrafi szanować także tamtą drużynę.

Że introduces a subordinate clause and usually means that.

So the structure is:

Mój ojciec mówi, że...
= My father says that...

In English, that is often optional, but in Polish że is normally expressed in sentences like this.

Because in standard Polish spelling, a comma is normally required before że when it introduces a subordinate clause.

So:

Mój ojciec mówi, że... is correct.

This is one of those punctuation rules that is stricter in Polish than in everyday English.

Yes, Polish can often omit possessive words like my, your, his when the meaning is obvious from context.

So both of these can work:

Mój ojciec mówi...
Ojciec mówi...

Using mój makes it explicit: my father. It can sound a little clearer or a little more emphatic, but it is completely natural.

Because dobry kibic is the subject of the clause, so it is in the nominative case.

• kibic = fan / supporter
• dobry = good

The adjective has to agree with the noun, so both stay in nominative singular masculine:

dobry kibic = a good fan

If this phrase had a different grammatical role, the form could change. For example, as a direct object you might get dobrego kibica.

Kibic usually means a sports fan or supporter, especially someone supporting a team.

It is more specific than English fan in some contexts. A kibic is often someone who follows and supports a club, team, or athlete, not just someone who casually likes something.

So here dobry kibic means something like a good supporter or a good sports fan.

Because potrafić is commonly followed by an infinitive.

potrafić + infinitive means:

• to be able to
• to know how to
• to be capable of

So:

potrafi szanować
= can respect / is capable of respecting

This is slightly different from simply saying szanuje.

• szanuje = respects
• potrafi szanować = is able to respect / knows how to respect

In this sentence, it suggests that a truly good fan has the maturity or ability to show respect, even to the other side.

Because the sentence is talking about what defines a good fan, not only about one concrete action.

Dobry kibic szanuje tamtą drużynę would mean:
A good fan respects that team.

Dobry kibic potrafi szanować tamtą drużynę means something closer to:
A good fan is capable of respecting that team.

That gives the sentence a slightly more moral or character-based tone: a good fan knows how to behave properly.

Także means also, too, or as well.

Here it adds the idea that a good fan does not only support their own team, but can also respect the other team.

So the sense is:

A good fan can respect the other team as well.

In many contexts, także is similar to też, though także can sound a little more formal or careful in style.

Because this phrase is the direct object of szanować, so it has to be in the accusative case.

The basic form is:

tamta drużyna = that team
(nominative)

But as a direct object it becomes:

tamtą drużynę
(accusative)

Both words change because drużyna is a feminine noun:

• tamta → tamtą
• drużyna → drużynę

This is a very common pattern with feminine singular nouns in Polish.

Ta drużyna means this team or that team, depending on context.

Tamta drużyna more clearly means that one over there or that other team.

In this sentence, tamtą drużynę suggests contrast: probably our team versus that other team. That is why it sounds especially natural in a sports context.

Polish word order is fairly flexible, but different positions change emphasis.

The given version is very natural and neutral:

Mój ojciec mówi, że dobry kibic potrafi szanować także tamtą drużynę.

You could also say:

Mój ojciec mówi, że dobry kibic także potrafi szanować tamtą drużynę.

or

Mój ojciec mówi, że dobry kibic potrafi także szanować tamtą drużynę.

These are similar, but the exact placement of także slightly changes what gets emphasized.

Because Polish uses case endings, the grammar does not depend as heavily on word order as English does.

It can mean either, depending on context, because Polish present tense often covers both simple present and present continuous meanings.

So:

Mój ojciec mówi... can mean:

• My father says...
• My father is saying...

In a sentence like this, the most natural interpretation is usually My father says..., meaning this is his opinion or something he often says.

Also, mówi comes from the imperfective verb mówić, which is the normal verb for to speak / to say in ongoing or repeated contexts.