kono kansyoku ga suki da.

You're right: normal Japanese writing does not usually use spaces between words.

So this would normally be written as:

この寒色が好きだ。

Spaces are often added in beginner materials to make the word boundaries easier to see.

この must be followed by a noun, while これ stands alone.

• この寒色 = this cool color / this cool-toned color
• これ = this

So you can say:

• この寒色が好きだ。
• これが好きだ。

But not このが好きだ.

Because この is not a complete noun by itself here. It is a determiner that directly modifies the noun that follows.

So この寒色 works as one noun phrase:

• この = this
• 寒色 = cool color / cool-toned color

Together: この寒色 = this cool color

You do not put a particle between この and the noun it modifies.

寒色 literally means cold colors, but in English the more natural term is usually cool colors or cool-toned colors.

It refers to colors on the cool side of the spectrum, such as blues, blue-greens, and similar shades.

Depending on context, 寒色 can refer to:

• cool colors as a category
• a cool-toned color
• a cool color scheme or cool-toned look

So the exact nuance depends on what the speaker is looking at or talking about.

This is one of the most common questions learners have.

In English, we say I like this color, where this color is the object of like.

But in Japanese, 好き does not behave like an ordinary verb such as eat or see. It behaves more like liked / pleasing / preferable.

So the thing that is liked is often marked with が:

• この寒色が好きだ。 = literally something like This cool color is liked / pleasing

That is why が is natural here.

Not in standard grammar, no.

好き is usually treated as a na-adjective or adjectival noun, not a regular verb.

That is why it patterns differently from verbs:

• りんごを食べる = eat an apple
• りんごが好きだ = like apples

With 好き, the liked thing is commonly marked by が, not を.

Because 好き is not a complete plain-form predicate by itself in standard Japanese. It normally needs the copula:

• plain: 好きだ
• polite: 好きです

So:

• この寒色が好きだ。 = plain/casual
• この寒色が好きです。 = polite

In casual conversation, Japanese often drops だ, so you may also hear:

• この寒色が好き。

That is very common in speech.

Yes.

Both が and は are possible, but they do slightly different things.

• この寒色が好きだ: focuses on this cool color as the thing liked
• この寒色は好きだ: makes this cool color the topic, often with a nuance like as for this cool color, I like it

は can also add contrast, depending on context. For example, it can sound like:

• I like this cool color, but maybe not the others

So が is a neutral choice here, while は adds a topic or contrast feeling.

Very possibly, yes.

Japanese often leaves out information that is obvious from context. So this sentence could easily imply:

• 私はこの寒色が好きだ。 = I like this cool color

But if everyone already knows who is speaking, 私は is usually unnecessary.

This kind of omission is extremely common in Japanese.

Japanese nouns usually do not mark singular vs. plural the way English does.

So 寒色 by itself does not automatically tell you whether it means:

• a cool color
• cool colors
• cool-toned color(s)

The context tells you.

In this specific sentence, because of この, it most naturally sounds like the speaker is referring to this particular cool-toned color or this cool-color item.

It can be natural, but the context matters.

If you are pointing to a specific color swatch, design, or item and saying you like that cool-toned color, it works.

However, if you mean I like cool colors in general, Japanese would more naturally say something like:

• 寒色が好きだ。 = I like cool colors.
• こういう寒色が好きだ。 = I like cool colors like this.
• 寒色系が好きだ。 = I like cool-toned colors.

So この寒色が好きだ is most natural when this specific color is visible or already known in the conversation.