וְֽיָצְא֞וּ יֹשְׁבֵ֣י ׀ עָרֵ֣י יִשְׂרָאֵ֗ל וּבִעֲר֡וּ וְ֠הִשִּׂיקוּ בְּנֶ֨שֶׁק וּמָגֵ֤ן וְצִנָּה֙ בְּקֶ֣שֶׁת וּבְחִצִּ֔ים וּבְמַקֵּ֥ל יָ֖ד וּבְרֹ֑מַח וּבִעֲר֥וּ בָהֶ֛ם אֵ֖שׁ שֶׁ֥בַע שָׁנִֽים׃
And they that dwell in the cities of Israel shall go forth, and shall make fires of the weapons and use them as fuel, both the shields and the bucklers, the bows and the arrows, and the hand-staves, and the spears, and they shall make fires of them seven years;
Shulchan Arukh, Yoreh De'ah
The use of a Jewish-lit oven is sufficient to qualify bread as "bishul Israel". However, in other types of cooking, the lighting of the fire nor the lit of the oven hold any significance. It is only the actual act of placing the food in the oven that qualifies it as "bishul Israel". Therefore, if one wants to cook in a pan in an oven of non-Jews, it is necessary that the Jew puts the pan in himself, to a place in the oven that is appropriate to cook in. Rema: And there are those that disagree and believe that lighting a fire or stoking the coals in any way with regards to cooking, as with bread, is sufficient, and that is our custom. And even stoking the fire without any particular intentions works. And there are those that say that even if the Jew did not stoke the fire, and did not throw in any wood chips, only that the non-Jew lit the oven from a fire that was lit by a Jew, that is permitted.