Solomon prayed that when a foreigner came and prayed toward the house because of the LORD’s name, God would hear from heaven and do according to what the foreigner called for (1 Kings 8:41-43). He said the purpose was that all people of the earth may know God’s name and fear God like Israel (1 Kings 8:43).
In 1 Kings 8:41–53, Solomon’s temple prayer widens beyond local worship. He asks that God hear foreigners who travel in because of God’s reputation and who pray toward the temple, so that nations may come to recognize Israel’s God. These verses sit inside Solomon’s dedication prayer for the newly built temple (1 Kings 8), following earlier requests about prayers offered when Israel faces drought, famine, or other troubles.
These verses present Solomon’s temple prayer as intentionally outward-facing. He expects non-Israelites to hear about Yahweh’s “name” (reputation and revealed identity) and to travel to Jerusalem to pray toward the temple (verses 41–43). Solomon asks God—who dwells “in heaven,” not inside the building—to hear and respond.
A careful answer keeps the immediate passage, the book's argument, and the whole-Bible storyline together, so the question is answered in context instead of as a detached idea.
Start with 1 Kings 8:41-43, then read the surrounding section so the answer stays connected to the passage's flow.
41Moreover concerning the foreigner, who is not of your people Israel, when he shall come out of a far country for your name`s sake
42(for they shall hear of your great name, and of your mighty hand, and of your outstretched arm); when he shall come and pray toward this house;
43hear in heaven, your dwelling-place, and do according to all that the foreigner calls to you for; that all the peoples of the earth may know your name, to fear you, as does your people Israel, and that they may know that this house which I have built is called by my name.